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Finding the Fourth Proportional to 543,881.24, 750,569.52 and 298,864

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Solution

The fourth proportional to 543,881.24, 750,569.52 and 298,864 is: 412,439.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,881.24 : 750,569.52 = 298,864 : x
  2. Step 2: Convert to fraction form
    543,881.24/750,569.52 = 298,864/x
  3. Step 3: Cross multiply
    543,881.24x = 750,569.52 × 298,864
  4. Step 4: Simplify right side
    543,881.24x = 224,318,209,025.28
  5. Step 5: Solve for x
    x = 224,318,209,025.28/543,881.24
  6. Step 6: Final answer
    x = 412,439.69

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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.