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Finding the Fourth Proportional to 651,703.80, 977,118.30 and 314,905.80

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Solution

The fourth proportional to 651,703.80, 977,118.30 and 314,905.80 is: 472,147.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,703.80 : 977,118.30 = 314,905.80 : x
  2. Step 2: Convert to fraction form
    651,703.80/977,118.30 = 314,905.80/x
  3. Step 3: Cross multiply
    651,703.80x = 977,118.30 × 314,905.80
  4. Step 4: Simplify right side
    651,703.80x = 307,700,219,956.14
  5. Step 5: Solve for x
    x = 307,700,219,956.14/651,703.80
  6. Step 6: Final answer
    x = 472,147.35

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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.