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Finding the Fourth Proportional to 361,325.66, 498,428.51 and 284,561.96

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Solution

The fourth proportional to 361,325.66, 498,428.51 and 284,561.96 is: 392,537.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,325.66 : 498,428.51 = 284,561.96 : x
  2. Step 2: Convert to fraction form
    361,325.66/498,428.51 = 284,561.96/x
  3. Step 3: Cross multiply
    361,325.66x = 498,428.51 × 284,561.96
  4. Step 4: Simplify right side
    361,325.66x = 141,833,789,810.53
  5. Step 5: Solve for x
    x = 141,833,789,810.53/361,325.66
  6. Step 6: Final answer
    x = 392,537.28

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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.