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Finding the Fourth Proportional to 442,823.40, 663,250.95 and 442,823.40

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Solution

The fourth proportional to 442,823.40, 663,250.95 and 442,823.40 is: 663,250.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,823.40 : 663,250.95 = 442,823.40 : x
  2. Step 2: Convert to fraction form
    442,823.40/663,250.95 = 442,823.40/x
  3. Step 3: Cross multiply
    442,823.40x = 663,250.95 × 442,823.40
  4. Step 4: Simplify right side
    442,823.40x = 293,703,040,732.23
  5. Step 5: Solve for x
    x = 293,703,040,732.23/442,823.40
  6. Step 6: Final answer
    x = 663,250.95

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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.