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Finding the Fourth Proportional to 381,824.40, 572,590.80 and 115,496.40

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Solution

The fourth proportional to 381,824.40, 572,590.80 and 115,496.40 is: 173,200.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,824.40 : 572,590.80 = 115,496.40 : x
  2. Step 2: Convert to fraction form
    381,824.40/572,590.80 = 115,496.40/x
  3. Step 3: Cross multiply
    381,824.40x = 572,590.80 × 115,496.40
  4. Step 4: Simplify right side
    381,824.40x = 66,132,176,073.12
  5. Step 5: Solve for x
    x = 66,132,176,073.12/381,824.40
  6. Step 6: Final answer
    x = 173,200.50

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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.