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Finding the Fourth Proportional to 356,409.20, 534,757.80 and 156,767.60

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Solution

The fourth proportional to 356,409.20, 534,757.80 and 156,767.60 is: 235,214.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,409.20 : 534,757.80 = 156,767.60 : x
  2. Step 2: Convert to fraction form
    356,409.20/534,757.80 = 156,767.60/x
  3. Step 3: Cross multiply
    356,409.20x = 534,757.80 × 156,767.60
  4. Step 4: Simplify right side
    356,409.20x = 83,832,696,887.28
  5. Step 5: Solve for x
    x = 83,832,696,887.28/356,409.20
  6. Step 6: Final answer
    x = 235,214.74

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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.