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Finding the Fourth Proportional to 532,821.68, 735,294.54 and 291,108.32

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Solution

The fourth proportional to 532,821.68, 735,294.54 and 291,108.32 is: 401,729.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,821.68 : 735,294.54 = 291,108.32 : x
  2. Step 2: Convert to fraction form
    532,821.68/735,294.54 = 291,108.32/x
  3. Step 3: Cross multiply
    532,821.68x = 735,294.54 × 291,108.32
  4. Step 4: Simplify right side
    532,821.68x = 214,050,358,244.57
  5. Step 5: Solve for x
    x = 214,050,358,244.57/532,821.68
  6. Step 6: Final answer
    x = 401,729.82

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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.