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Finding the Fourth Proportional to 428,401.92, 642,553.92 and 112,883.52

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Solution

The fourth proportional to 428,401.92, 642,553.92 and 112,883.52 is: 169,312.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,401.92 : 642,553.92 = 112,883.52 : x
  2. Step 2: Convert to fraction form
    428,401.92/642,553.92 = 112,883.52/x
  3. Step 3: Cross multiply
    428,401.92x = 642,553.92 × 112,883.52
  4. Step 4: Simplify right side
    428,401.92x = 72,533,748,279.40
  5. Step 5: Solve for x
    x = 72,533,748,279.40/428,401.92
  6. Step 6: Final answer
    x = 169,312.38

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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.