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Finding the Fourth Proportional to 408,444.38, 612,666.84 and 127,983.50

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Solution

The fourth proportional to 408,444.38, 612,666.84 and 127,983.50 is: 191,975.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,444.38 : 612,666.84 = 127,983.50 : x
  2. Step 2: Convert to fraction form
    408,444.38/612,666.84 = 127,983.50/x
  3. Step 3: Cross multiply
    408,444.38x = 612,666.84 × 127,983.50
  4. Step 4: Simplify right side
    408,444.38x = 78,411,246,517.14
  5. Step 5: Solve for x
    x = 78,411,246,517.14/408,444.38
  6. Step 6: Final answer
    x = 191,975.33

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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.