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Finding the Fourth Proportional to 511,319.14, 766,978.71 and 156,333.16

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Solution

The fourth proportional to 511,319.14, 766,978.71 and 156,333.16 is: 234,499.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,319.14 : 766,978.71 = 156,333.16 : x
  2. Step 2: Convert to fraction form
    511,319.14/766,978.71 = 156,333.16/x
  3. Step 3: Cross multiply
    511,319.14x = 766,978.71 × 156,333.16
  4. Step 4: Simplify right side
    511,319.14x = 119,904,205,387.02
  5. Step 5: Solve for x
    x = 119,904,205,387.02/511,319.14
  6. Step 6: Final answer
    x = 234,499.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.