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Finding the Fourth Proportional to 415,962.32, 574,027.56 and 224,975.25

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Solution

The fourth proportional to 415,962.32, 574,027.56 and 224,975.25 is: 310,465.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,962.32 : 574,027.56 = 224,975.25 : x
  2. Step 2: Convert to fraction form
    415,962.32/574,027.56 = 224,975.25/x
  3. Step 3: Cross multiply
    415,962.32x = 574,027.56 × 224,975.25
  4. Step 4: Simplify right side
    415,962.32x = 129,141,993,817.89
  5. Step 5: Solve for x
    x = 129,141,993,817.89/415,962.32
  6. Step 6: Final answer
    x = 310,465.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.