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Finding the Fourth Proportional to 567,142.53, 782,711.84 and 423,653.46

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Solution

The fourth proportional to 567,142.53, 782,711.84 and 423,653.46 is: 584,682.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,142.53 : 782,711.84 = 423,653.46 : x
  2. Step 2: Convert to fraction form
    567,142.53/782,711.84 = 423,653.46/x
  3. Step 3: Cross multiply
    567,142.53x = 782,711.84 × 423,653.46
  4. Step 4: Simplify right side
    567,142.53x = 331,598,575,285.41
  5. Step 5: Solve for x
    x = 331,598,575,285.41/567,142.53
  6. Step 6: Final answer
    x = 584,682.97

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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.