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Finding the Fourth Proportional to 242,863.20, 364,294.80 and 224,200.80

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Solution

The fourth proportional to 242,863.20, 364,294.80 and 224,200.80 is: 336,301.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,863.20 : 364,294.80 = 224,200.80 : x
  2. Step 2: Convert to fraction form
    242,863.20/364,294.80 = 224,200.80/x
  3. Step 3: Cross multiply
    242,863.20x = 364,294.80 × 224,200.80
  4. Step 4: Simplify right side
    242,863.20x = 81,675,185,595.84
  5. Step 5: Solve for x
    x = 81,675,185,595.84/242,863.20
  6. Step 6: Final answer
    x = 336,301.20

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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.