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Finding the Fourth Proportional to 564,046.71, 845,649.27 and 339,354.49

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Solution

The fourth proportional to 564,046.71, 845,649.27 and 339,354.49 is: 508,778.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,046.71 : 845,649.27 = 339,354.49 : x
  2. Step 2: Convert to fraction form
    564,046.71/845,649.27 = 339,354.49/x
  3. Step 3: Cross multiply
    564,046.71x = 845,649.27 × 339,354.49
  4. Step 4: Simplify right side
    564,046.71x = 286,974,876,739.72
  5. Step 5: Solve for x
    x = 286,974,876,739.72/564,046.71
  6. Step 6: Final answer
    x = 508,778.57

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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.