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Finding the Fourth Proportional to 541,869.92, 812,674 and 226,155.68

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Solution

The fourth proportional to 541,869.92, 812,674 and 226,155.68 is: 339,178.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,869.92 : 812,674 = 226,155.68 : x
  2. Step 2: Convert to fraction form
    541,869.92/812,674 = 226,155.68/x
  3. Step 3: Cross multiply
    541,869.92x = 812,674 × 226,155.68
  4. Step 4: Simplify right side
    541,869.92x = 183,790,841,088.32
  5. Step 5: Solve for x
    x = 183,790,841,088.32/541,869.92
  6. Step 6: Final answer
    x = 339,178.90

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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.