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Finding the Fourth Proportional to 741,960, 1,023,904.87 and 419,663.16

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Solution

The fourth proportional to 741,960, 1,023,904.87 and 419,663.16 is: 579,135.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,960 : 1,023,904.87 = 419,663.16 : x
  2. Step 2: Convert to fraction form
    741,960/1,023,904.87 = 419,663.16/x
  3. Step 3: Cross multiply
    741,960x = 1,023,904.87 × 419,663.16
  4. Step 4: Simplify right side
    741,960x = 429,695,152,234.43
  5. Step 5: Solve for x
    x = 429,695,152,234.43/741,960
  6. Step 6: Final answer
    x = 579,135.20

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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.