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Finding the Fourth Proportional to 652,169.70, 978,254.55 and 178,902.90

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Solution

The fourth proportional to 652,169.70, 978,254.55 and 178,902.90 is: 268,354.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,169.70 : 978,254.55 = 178,902.90 : x
  2. Step 2: Convert to fraction form
    652,169.70/978,254.55 = 178,902.90/x
  3. Step 3: Cross multiply
    652,169.70x = 978,254.55 × 178,902.90
  4. Step 4: Simplify right side
    652,169.70x = 175,012,575,933.20
  5. Step 5: Solve for x
    x = 175,012,575,933.20/652,169.70
  6. Step 6: Final answer
    x = 268,354.35

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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.