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Finding the Fourth Proportional to 532,822.68, 735,295.92 and 291,109.32

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Solution

The fourth proportional to 532,822.68, 735,295.92 and 291,109.32 is: 401,731.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,822.68 : 735,295.92 = 291,109.32 : x
  2. Step 2: Convert to fraction form
    532,822.68/735,295.92 = 291,109.32/x
  3. Step 3: Cross multiply
    532,822.68x = 735,295.92 × 291,109.32
  4. Step 4: Simplify right side
    532,822.68x = 214,051,495,269.97
  5. Step 5: Solve for x
    x = 214,051,495,269.97/532,822.68
  6. Step 6: Final answer
    x = 401,731.20

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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.