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Finding the Fourth Proportional to 407,778.38, 611,667.57 and 127,319.66

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Solution

The fourth proportional to 407,778.38, 611,667.57 and 127,319.66 is: 190,979.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,778.38 : 611,667.57 = 127,319.66 : x
  2. Step 2: Convert to fraction form
    407,778.38/611,667.57 = 127,319.66/x
  3. Step 3: Cross multiply
    407,778.38x = 611,667.57 × 127,319.66
  4. Step 4: Simplify right side
    407,778.38x = 77,877,307,045.43
  5. Step 5: Solve for x
    x = 77,877,307,045.43/407,778.38
  6. Step 6: Final answer
    x = 190,979.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.