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Finding the Fourth Proportional to 323,200.13, 484,800.19 and 101,584.13

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Solution

The fourth proportional to 323,200.13, 484,800.19 and 101,584.13 is: 152,376.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,200.13 : 484,800.19 = 101,584.13 : x
  2. Step 2: Convert to fraction form
    323,200.13/484,800.19 = 101,584.13/x
  3. Step 3: Cross multiply
    323,200.13x = 484,800.19 × 101,584.13
  4. Step 4: Simplify right side
    323,200.13x = 49,248,002,847.02
  5. Step 5: Solve for x
    x = 49,248,002,847.02/323,200.13
  6. Step 6: Final answer
    x = 152,376.19

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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.