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Finding the Fourth Proportional to 419,126.28, 578,378.16 and 237,827.39

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Solution

The fourth proportional to 419,126.28, 578,378.16 and 237,827.39 is: 328,192.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,126.28 : 578,378.16 = 237,827.39 : x
  2. Step 2: Convert to fraction form
    419,126.28/578,378.16 = 237,827.39/x
  3. Step 3: Cross multiply
    419,126.28x = 578,378.16 × 237,827.39
  4. Step 4: Simplify right side
    419,126.28x = 137,554,165,333.91
  5. Step 5: Solve for x
    x = 137,554,165,333.91/419,126.28
  6. Step 6: Final answer
    x = 328,192.65

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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.