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Finding the Fourth Proportional to 531,938.10, 797,907.15 and 307,989.30

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Solution

The fourth proportional to 531,938.10, 797,907.15 and 307,989.30 is: 461,983.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,938.10 : 797,907.15 = 307,989.30 : x
  2. Step 2: Convert to fraction form
    531,938.10/797,907.15 = 307,989.30/x
  3. Step 3: Cross multiply
    531,938.10x = 797,907.15 × 307,989.30
  4. Step 4: Simplify right side
    531,938.10x = 245,746,864,593.50
  5. Step 5: Solve for x
    x = 245,746,864,593.50/531,938.10
  6. Step 6: Final answer
    x = 461,983.95

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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.