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Finding the Fourth Proportional to 415,816.80, 573,827.40 and 224,830.20

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Solution

The fourth proportional to 415,816.80, 573,827.40 and 224,830.20 is: 310,265.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,816.80 : 573,827.40 = 224,830.20 : x
  2. Step 2: Convert to fraction form
    415,816.80/573,827.40 = 224,830.20/x
  3. Step 3: Cross multiply
    415,816.80x = 573,827.40 × 224,830.20
  4. Step 4: Simplify right side
    415,816.80x = 129,013,729,107.48
  5. Step 5: Solve for x
    x = 129,013,729,107.48/415,816.80
  6. Step 6: Final answer
    x = 310,265.79

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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.