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Finding the Fourth Proportional to 469,497.60, 703,002.24 and 282,251.52

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Solution

The fourth proportional to 469,497.60, 703,002.24 and 282,251.52 is: 422,629.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,497.60 : 703,002.24 = 282,251.52 : x
  2. Step 2: Convert to fraction form
    469,497.60/703,002.24 = 282,251.52/x
  3. Step 3: Cross multiply
    469,497.60x = 703,002.24 × 282,251.52
  4. Step 4: Simplify right side
    469,497.60x = 198,423,450,803.41
  5. Step 5: Solve for x
    x = 198,423,450,803.41/469,497.60
  6. Step 6: Final answer
    x = 422,629.32

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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.