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Finding the Fourth Proportional to 314,774.13, 472,253.49 and 101,537.76

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Solution

The fourth proportional to 314,774.13, 472,253.49 and 101,537.76 is: 152,336.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,774.13 : 472,253.49 = 101,537.76 : x
  2. Step 2: Convert to fraction form
    314,774.13/472,253.49 = 101,537.76/x
  3. Step 3: Cross multiply
    314,774.13x = 472,253.49 × 101,537.76
  4. Step 4: Simplify right side
    314,774.13x = 47,951,561,526.78
  5. Step 5: Solve for x
    x = 47,951,561,526.78/314,774.13
  6. Step 6: Final answer
    x = 152,336.41

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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.