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Finding the Fourth Proportional to 442,813.40, 663,235.94 and 442,813.40

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Solution

The fourth proportional to 442,813.40, 663,235.94 and 442,813.40 is: 663,235.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,813.40 : 663,235.94 = 442,813.40 : x
  2. Step 2: Convert to fraction form
    442,813.40/663,235.94 = 442,813.40/x
  3. Step 3: Cross multiply
    442,813.40x = 663,235.94 × 442,813.40
  4. Step 4: Simplify right side
    442,813.40x = 293,689,761,593.60
  5. Step 5: Solve for x
    x = 293,689,761,593.60/442,813.40
  6. Step 6: Final answer
    x = 663,235.94

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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.