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Finding the Fourth Proportional to 508,451.88, 762,657.84 and 153,456.24

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Solution

The fourth proportional to 508,451.88, 762,657.84 and 153,456.24 is: 230,178.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,451.88 : 762,657.84 = 153,456.24 : x
  2. Step 2: Convert to fraction form
    508,451.88/762,657.84 = 153,456.24/x
  3. Step 3: Cross multiply
    508,451.88x = 762,657.84 × 153,456.24
  4. Step 4: Simplify right side
    508,451.88x = 117,034,604,532.92
  5. Step 5: Solve for x
    x = 117,034,604,532.92/508,451.88
  6. Step 6: Final answer
    x = 230,178.33

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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.