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Finding the Fourth Proportional to 652,161.20, 978,241.80 and 178,894.40

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Solution

The fourth proportional to 652,161.20, 978,241.80 and 178,894.40 is: 268,341.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,161.20 : 978,241.80 = 178,894.40 : x
  2. Step 2: Convert to fraction form
    652,161.20/978,241.80 = 178,894.40/x
  3. Step 3: Cross multiply
    652,161.20x = 978,241.80 × 178,894.40
  4. Step 4: Simplify right side
    652,161.20x = 175,001,979,865.92
  5. Step 5: Solve for x
    x = 175,001,979,865.92/652,161.20
  6. Step 6: Final answer
    x = 268,341.60

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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.