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Finding the Fourth Proportional to 954,542, 1,431,821.64 and 289,694

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Solution

The fourth proportional to 954,542, 1,431,821.64 and 289,694 is: 434,543.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    954,542 : 1,431,821.64 = 289,694 : x
  2. Step 2: Convert to fraction form
    954,542/1,431,821.64 = 289,694/x
  3. Step 3: Cross multiply
    954,542x = 1,431,821.64 × 289,694
  4. Step 4: Simplify right side
    954,542x = 414,790,138,178.16
  5. Step 5: Solve for x
    x = 414,790,138,178.16/954,542
  6. Step 6: Final answer
    x = 434,543.62

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Why These Related Problems?

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