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Finding the Fourth Proportional to 533,065.30, 735,610.14 and 291,345.90

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Solution

The fourth proportional to 533,065.30, 735,610.14 and 291,345.90 is: 402,046.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,065.30 : 735,610.14 = 291,345.90 : x
  2. Step 2: Convert to fraction form
    533,065.30/735,610.14 = 291,345.90/x
  3. Step 3: Cross multiply
    533,065.30x = 735,610.14 × 291,345.90
  4. Step 4: Simplify right side
    533,065.30x = 214,316,998,287.43
  5. Step 5: Solve for x
    x = 214,316,998,287.43/533,065.30
  6. Step 6: Final answer
    x = 402,046.43

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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.