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Finding the Fourth Proportional to 532,917.92, 735,403.84 and 291,196.64

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Solution

The fourth proportional to 532,917.92, 735,403.84 and 291,196.64 is: 401,838.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,917.92 : 735,403.84 = 291,196.64 : x
  2. Step 2: Convert to fraction form
    532,917.92/735,403.84 = 291,196.64/x
  3. Step 3: Cross multiply
    532,917.92x = 735,403.84 × 291,196.64
  4. Step 4: Simplify right side
    532,917.92x = 214,147,127,251.10
  5. Step 5: Solve for x
    x = 214,147,127,251.10/532,917.92
  6. Step 6: Final answer
    x = 401,838.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.