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Finding the Fourth Proportional to 415,952.83, 574,015.28 and 224,966.22

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Solution

The fourth proportional to 415,952.83, 574,015.28 and 224,966.22 is: 310,453.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,952.83 : 574,015.28 = 224,966.22 : x
  2. Step 2: Convert to fraction form
    415,952.83/574,015.28 = 224,966.22/x
  3. Step 3: Cross multiply
    415,952.83x = 574,015.28 × 224,966.22
  4. Step 4: Simplify right side
    415,952.83x = 129,134,047,763.84
  5. Step 5: Solve for x
    x = 129,134,047,763.84/415,952.83
  6. Step 6: Final answer
    x = 310,453.59

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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.