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Finding the Fourth Proportional to 564,042.96, 845,643.65 and 339,350.74

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Solution

The fourth proportional to 564,042.96, 845,643.65 and 339,350.74 is: 508,772.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,042.96 : 845,643.65 = 339,350.74 : x
  2. Step 2: Convert to fraction form
    564,042.96/845,643.65 = 339,350.74/x
  3. Step 3: Cross multiply
    564,042.96x = 845,643.65 × 339,350.74
  4. Step 4: Simplify right side
    564,042.96x = 286,969,794,592.94
  5. Step 5: Solve for x
    x = 286,969,794,592.94/564,042.96
  6. Step 6: Final answer
    x = 508,772.94

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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.