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Finding the Fourth Proportional to 415,740.32, 573,726.88 and 252,349.60

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Solution

The fourth proportional to 415,740.32, 573,726.88 and 252,349.60 is: 348,245.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,740.32 : 573,726.88 = 252,349.60 : x
  2. Step 2: Convert to fraction form
    415,740.32/573,726.88 = 252,349.60/x
  3. Step 3: Cross multiply
    415,740.32x = 573,726.88 × 252,349.60
  4. Step 4: Simplify right side
    415,740.32x = 144,779,748,677.25
  5. Step 5: Solve for x
    x = 144,779,748,677.25/415,740.32
  6. Step 6: Final answer
    x = 348,245.63

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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.