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Finding the Fourth Proportional to 567,296.22, 782,564.68 and 363,127.47

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Solution

The fourth proportional to 567,296.22, 782,564.68 and 363,127.47 is: 500,921.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,296.22 : 782,564.68 = 363,127.47 : x
  2. Step 2: Convert to fraction form
    567,296.22/782,564.68 = 363,127.47/x
  3. Step 3: Cross multiply
    567,296.22x = 782,564.68 × 363,127.47
  4. Step 4: Simplify right side
    567,296.22x = 284,170,732,359.76
  5. Step 5: Solve for x
    x = 284,170,732,359.76/567,296.22
  6. Step 6: Final answer
    x = 500,921.25

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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.