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Finding the Fourth Proportional to 415,827.64, 573,842.55 and 224,840.98

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Solution

The fourth proportional to 415,827.64, 573,842.55 and 224,840.98 is: 310,280.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,827.64 : 573,842.55 = 224,840.98 : x
  2. Step 2: Convert to fraction form
    415,827.64/573,842.55 = 224,840.98/x
  3. Step 3: Cross multiply
    415,827.64x = 573,842.55 × 224,840.98
  4. Step 4: Simplify right side
    415,827.64x = 129,023,321,307.70
  5. Step 5: Solve for x
    x = 129,023,321,307.70/415,827.64
  6. Step 6: Final answer
    x = 310,280.77

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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.