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Finding the Fourth Proportional to 442,006, 663,205.74 and 231,594.76

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Solution

The fourth proportional to 442,006, 663,205.74 and 231,594.76 is: 347,495.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,006 : 663,205.74 = 231,594.76 : x
  2. Step 2: Convert to fraction form
    442,006/663,205.74 = 231,594.76/x
  3. Step 3: Cross multiply
    442,006x = 663,205.74 × 231,594.76
  4. Step 4: Simplify right side
    442,006x = 153,594,974,185.92
  5. Step 5: Solve for x
    x = 153,594,974,185.92/442,006
  6. Step 6: Final answer
    x = 347,495.22

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1.5x scale

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.