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Finding the Fourth Proportional to 415,324.70, 573,148.11 and 224,338.10

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Solution

The fourth proportional to 415,324.70, 573,148.11 and 224,338.10 is: 309,586.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,324.70 : 573,148.11 = 224,338.10 : x
  2. Step 2: Convert to fraction form
    415,324.70/573,148.11 = 224,338.10/x
  3. Step 3: Cross multiply
    415,324.70x = 573,148.11 × 224,338.10
  4. Step 4: Simplify right side
    415,324.70x = 128,578,955,150.25
  5. Step 5: Solve for x
    x = 128,578,955,150.25/415,324.70
  6. Step 6: Final answer
    x = 309,586.59

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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.