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Finding the Fourth Proportional to 974,005, 1,461,007.50 and 264,033.04

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Solution

The fourth proportional to 974,005, 1,461,007.50 and 264,033.04 is: 396,049.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,005 : 1,461,007.50 = 264,033.04 : x
  2. Step 2: Convert to fraction form
    974,005/1,461,007.50 = 264,033.04/x
  3. Step 3: Cross multiply
    974,005x = 1,461,007.50 × 264,033.04
  4. Step 4: Simplify right side
    974,005x = 385,754,251,687.80
  5. Step 5: Solve for x
    x = 385,754,251,687.80/974,005
  6. Step 6: Final answer
    x = 396,049.56

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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.