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Finding the Fourth Proportional to 564,865.34, 779,513.24 and 310,216.52

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Solution

The fourth proportional to 564,865.34, 779,513.24 and 310,216.52 is: 428,098.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,865.34 : 779,513.24 = 310,216.52 : x
  2. Step 2: Convert to fraction form
    564,865.34/779,513.24 = 310,216.52/x
  3. Step 3: Cross multiply
    564,865.34x = 779,513.24 × 310,216.52
  4. Step 4: Simplify right side
    564,865.34x = 241,817,884,606.73
  5. Step 5: Solve for x
    x = 241,817,884,606.73/564,865.34
  6. Step 6: Final answer
    x = 428,098.29

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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.