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Finding the Fourth Proportional to 651,704.30, 977,119.05 and 314,906.30

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Solution

The fourth proportional to 651,704.30, 977,119.05 and 314,906.30 is: 472,148.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,704.30 : 977,119.05 = 314,906.30 : x
  2. Step 2: Convert to fraction form
    651,704.30/977,119.05 = 314,906.30/x
  3. Step 3: Cross multiply
    651,704.30x = 977,119.05 × 314,906.30
  4. Step 4: Simplify right side
    651,704.30x = 307,700,944,695.02
  5. Step 5: Solve for x
    x = 307,700,944,695.02/651,704.30
  6. Step 6: Final answer
    x = 472,148.10

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.