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Finding the Fourth Proportional to 415,397.16, 573,248.68 and 224,410.62

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Solution

The fourth proportional to 415,397.16, 573,248.68 and 224,410.62 is: 309,686.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,397.16 : 573,248.68 = 224,410.62 : x
  2. Step 2: Convert to fraction form
    415,397.16/573,248.68 = 224,410.62/x
  3. Step 3: Cross multiply
    415,397.16x = 573,248.68 × 224,410.62
  4. Step 4: Simplify right side
    415,397.16x = 128,643,091,692.98
  5. Step 5: Solve for x
    x = 128,643,091,692.98/415,397.16
  6. Step 6: Final answer
    x = 309,686.98

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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.