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Finding the Fourth Proportional to 415,855.76, 573,881.54 and 224,869.14

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Solution

The fourth proportional to 415,855.76, 573,881.54 and 224,869.14 is: 310,319.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,855.76 : 573,881.54 = 224,869.14 : x
  2. Step 2: Convert to fraction form
    415,855.76/573,881.54 = 224,869.14/x
  3. Step 3: Cross multiply
    415,855.76x = 573,881.54 × 224,869.14
  4. Step 4: Simplify right side
    415,855.76x = 129,048,247,237.33
  5. Step 5: Solve for x
    x = 129,048,247,237.33/415,855.76
  6. Step 6: Final answer
    x = 310,319.73

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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.