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Finding the Fourth Proportional to 415,422.18, 573,282.90 and 224,435.52

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Solution

The fourth proportional to 415,422.18, 573,282.90 and 224,435.52 is: 309,721.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,422.18 : 573,282.90 = 224,435.52 : x
  2. Step 2: Convert to fraction form
    415,422.18/573,282.90 = 224,435.52/x
  3. Step 3: Cross multiply
    415,422.18x = 573,282.90 × 224,435.52
  4. Step 4: Simplify right side
    415,422.18x = 128,665,045,768.61
  5. Step 5: Solve for x
    x = 128,665,045,768.61/415,422.18
  6. Step 6: Final answer
    x = 309,721.18

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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.