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Finding the Fourth Proportional to 531,473.48, 797,073.96 and 157,409

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Solution

The fourth proportional to 531,473.48, 797,073.96 and 157,409 is: 236,073.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,473.48 : 797,073.96 = 157,409 : x
  2. Step 2: Convert to fraction form
    531,473.48/797,073.96 = 157,409/x
  3. Step 3: Cross multiply
    531,473.48x = 797,073.96 × 157,409
  4. Step 4: Simplify right side
    531,473.48x = 125,466,614,969.64
  5. Step 5: Solve for x
    x = 125,466,614,969.64/531,473.48
  6. Step 6: Final answer
    x = 236,073.14

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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.