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Finding the Fourth Proportional to 651,396, 977,047.06 and 202,105.30

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Solution

The fourth proportional to 651,396, 977,047.06 and 202,105.30 is: 303,143.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,396 : 977,047.06 = 202,105.30 : x
  2. Step 2: Convert to fraction form
    651,396/977,047.06 = 202,105.30/x
  3. Step 3: Cross multiply
    651,396x = 977,047.06 × 202,105.30
  4. Step 4: Simplify right side
    651,396x = 197,466,389,175.42
  5. Step 5: Solve for x
    x = 197,466,389,175.42/651,396
  6. Step 6: Final answer
    x = 303,143.39

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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.