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Finding the Fourth Proportional to 533,086.77, 735,679.53 and 291,385.61

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Solution

The fourth proportional to 533,086.77, 735,679.53 and 291,385.61 is: 402,122.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,086.77 : 735,679.53 = 291,385.61 : x
  2. Step 2: Convert to fraction form
    533,086.77/735,679.53 = 291,385.61/x
  3. Step 3: Cross multiply
    533,086.77x = 735,679.53 × 291,385.61
  4. Step 4: Simplify right side
    533,086.77x = 214,366,428,613.56
  5. Step 5: Solve for x
    x = 214,366,428,613.56/533,086.77
  6. Step 6: Final answer
    x = 402,122.96

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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.