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Finding the Fourth Proportional to 532,854.89, 735,331.05 and 291,132.26

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Solution

The fourth proportional to 532,854.89, 735,331.05 and 291,132.26 is: 401,757.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,854.89 : 735,331.05 = 291,132.26 : x
  2. Step 2: Convert to fraction form
    532,854.89/735,331.05 = 291,132.26/x
  3. Step 3: Cross multiply
    532,854.89x = 735,331.05 × 291,132.26
  4. Step 4: Simplify right side
    532,854.89x = 214,078,590,434.67
  5. Step 5: Solve for x
    x = 214,078,590,434.67/532,854.89
  6. Step 6: Final answer
    x = 401,757.77

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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.