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Finding the Fourth Proportional to 415,974.45, 574,044.12 and 224,987.25

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Solution

The fourth proportional to 415,974.45, 574,044.12 and 224,987.25 is: 310,482.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,974.45 : 574,044.12 = 224,987.25 : x
  2. Step 2: Convert to fraction form
    415,974.45/574,044.12 = 224,987.25/x
  3. Step 3: Cross multiply
    415,974.45x = 574,044.12 × 224,987.25
  4. Step 4: Simplify right side
    415,974.45x = 129,152,607,937.47
  5. Step 5: Solve for x
    x = 129,152,607,937.47/415,974.45
  6. Step 6: Final answer
    x = 310,482.07

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Double scale
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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.