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Finding the Fourth Proportional to 533,086.59, 735,679.28 and 291,385.42

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Solution

The fourth proportional to 533,086.59, 735,679.28 and 291,385.42 is: 402,122.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,086.59 : 735,679.28 = 291,385.42 : x
  2. Step 2: Convert to fraction form
    533,086.59/735,679.28 = 291,385.42/x
  3. Step 3: Cross multiply
    533,086.59x = 735,679.28 × 291,385.42
  4. Step 4: Simplify right side
    533,086.59x = 214,366,215,988.10
  5. Step 5: Solve for x
    x = 214,366,215,988.10/533,086.59
  6. Step 6: Final answer
    x = 402,122.69

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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.