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Finding the Fourth Proportional to 438,082.60, 657,123.90 and 157,563.40

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Solution

The fourth proportional to 438,082.60, 657,123.90 and 157,563.40 is: 236,345.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,082.60 : 657,123.90 = 157,563.40 : x
  2. Step 2: Convert to fraction form
    438,082.60/657,123.90 = 157,563.40/x
  3. Step 3: Cross multiply
    438,082.60x = 657,123.90 × 157,563.40
  4. Step 4: Simplify right side
    438,082.60x = 103,538,675,905.26
  5. Step 5: Solve for x
    x = 103,538,675,905.26/438,082.60
  6. Step 6: Final answer
    x = 236,345.10

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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.