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Finding the Fourth Proportional to 532,874.32, 735,365.43 and 291,158.62

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Solution

The fourth proportional to 532,874.32, 735,365.43 and 291,158.62 is: 401,798.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,874.32 : 735,365.43 = 291,158.62 : x
  2. Step 2: Convert to fraction form
    532,874.32/735,365.43 = 291,158.62/x
  3. Step 3: Cross multiply
    532,874.32x = 735,365.43 × 291,158.62
  4. Step 4: Simplify right side
    532,874.32x = 214,107,981,956.09
  5. Step 5: Solve for x
    x = 214,107,981,956.09/532,874.32
  6. Step 6: Final answer
    x = 401,798.28

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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.