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Finding the Fourth Proportional to 442,344.50, 663,516.76 and 146,856.50

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Solution

The fourth proportional to 442,344.50, 663,516.76 and 146,856.50 is: 220,284.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,344.50 : 663,516.76 = 146,856.50 : x
  2. Step 2: Convert to fraction form
    442,344.50/663,516.76 = 146,856.50/x
  3. Step 3: Cross multiply
    442,344.50x = 663,516.76 × 146,856.50
  4. Step 4: Simplify right side
    442,344.50x = 97,441,749,064.94
  5. Step 5: Solve for x
    x = 97,441,749,064.94/442,344.50
  6. Step 6: Final answer
    x = 220,284.75

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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.