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Finding the Fourth Proportional to 567,262.38, 782,822.25 and 309,139.41

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Solution

The fourth proportional to 567,262.38, 782,822.25 and 309,139.41 is: 426,612.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,262.38 : 782,822.25 = 309,139.41 : x
  2. Step 2: Convert to fraction form
    567,262.38/782,822.25 = 309,139.41/x
  3. Step 3: Cross multiply
    567,262.38x = 782,822.25 × 309,139.41
  4. Step 4: Simplify right side
    567,262.38x = 242,001,208,499.87
  5. Step 5: Solve for x
    x = 242,001,208,499.87/567,262.38
  6. Step 6: Final answer
    x = 426,612.48

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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.