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Finding the Fourth Proportional to 567,266.74, 782,824.17 and 312,618.22

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Solution

The fourth proportional to 567,266.74, 782,824.17 and 312,618.22 is: 431,410.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,266.74 : 782,824.17 = 312,618.22 : x
  2. Step 2: Convert to fraction form
    567,266.74/782,824.17 = 312,618.22/x
  3. Step 3: Cross multiply
    567,266.74x = 782,824.17 × 312,618.22
  4. Step 4: Simplify right side
    567,266.74x = 244,725,098,598.38
  5. Step 5: Solve for x
    x = 244,725,098,598.38/567,266.74
  6. Step 6: Final answer
    x = 431,410.98

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1.5x scale

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.