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Finding the Fourth Proportional to 564,887.14, 779,541.23 and 306,761.83

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Solution

The fourth proportional to 564,887.14, 779,541.23 and 306,761.83 is: 423,329.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,887.14 : 779,541.23 = 306,761.83 : x
  2. Step 2: Convert to fraction form
    564,887.14/779,541.23 = 306,761.83/x
  3. Step 3: Cross multiply
    564,887.14x = 779,541.23 × 306,761.83
  4. Step 4: Simplify right side
    564,887.14x = 239,133,490,377.55
  5. Step 5: Solve for x
    x = 239,133,490,377.55/564,887.14
  6. Step 6: Final answer
    x = 423,329.68

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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.