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Finding the Fourth Proportional to 242,591.10, 363,886.65 and 180,383.10

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Solution

The fourth proportional to 242,591.10, 363,886.65 and 180,383.10 is: 270,574.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,591.10 : 363,886.65 = 180,383.10 : x
  2. Step 2: Convert to fraction form
    242,591.10/363,886.65 = 180,383.10/x
  3. Step 3: Cross multiply
    242,591.10x = 363,886.65 × 180,383.10
  4. Step 4: Simplify right side
    242,591.10x = 65,639,001,975.62
  5. Step 5: Solve for x
    x = 65,639,001,975.62/242,591.10
  6. Step 6: Final answer
    x = 270,574.65

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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.