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Finding the Fourth Proportional to 567,560.42, 782,419.28 and 446,491.28

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Solution

The fourth proportional to 567,560.42, 782,419.28 and 446,491.28 is: 615,517.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,560.42 : 782,419.28 = 446,491.28 : x
  2. Step 2: Convert to fraction form
    567,560.42/782,419.28 = 446,491.28/x
  3. Step 3: Cross multiply
    567,560.42x = 782,419.28 × 446,491.28
  4. Step 4: Simplify right side
    567,560.42x = 349,343,385,823.88
  5. Step 5: Solve for x
    x = 349,343,385,823.88/567,560.42
  6. Step 6: Final answer
    x = 615,517.53

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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.