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Finding the Fourth Proportional to 564,806, 779,607.24 and 363,602

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Solution

The fourth proportional to 564,806, 779,607.24 and 363,602 is: 501,883.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,806 : 779,607.24 = 363,602 : x
  2. Step 2: Convert to fraction form
    564,806/779,607.24 = 363,602/x
  3. Step 3: Cross multiply
    564,806x = 779,607.24 × 363,602
  4. Step 4: Simplify right side
    564,806x = 283,466,751,678.48
  5. Step 5: Solve for x
    x = 283,466,751,678.48/564,806
  6. Step 6: Final answer
    x = 501,883.39

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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.