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Finding the Fourth Proportional to 415,357.78, 573,194.25 and 224,371.17

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Solution

The fourth proportional to 415,357.78, 573,194.25 and 224,371.17 is: 309,632.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,357.78 : 573,194.25 = 224,371.17 : x
  2. Step 2: Convert to fraction form
    415,357.78/573,194.25 = 224,371.17/x
  3. Step 3: Cross multiply
    415,357.78x = 573,194.25 × 224,371.17
  4. Step 4: Simplify right side
    415,357.78x = 128,608,264,509.77
  5. Step 5: Solve for x
    x = 128,608,264,509.77/415,357.78
  6. Step 6: Final answer
    x = 309,632.49

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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.