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Finding the Fourth Proportional to 532,902.96, 735,397.34 and 291,180.33

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Solution

The fourth proportional to 532,902.96, 735,397.34 and 291,180.33 is: 401,824.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,902.96 : 735,397.34 = 291,180.33 : x
  2. Step 2: Convert to fraction form
    532,902.96/735,397.34 = 291,180.33/x
  3. Step 3: Cross multiply
    532,902.96x = 735,397.34 × 291,180.33
  4. Step 4: Simplify right side
    532,902.96x = 214,133,238,686.42
  5. Step 5: Solve for x
    x = 214,133,238,686.42/532,902.96
  6. Step 6: Final answer
    x = 401,824.07

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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.