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Finding the Fourth Proportional to 652,153.80, 978,230.70 and 178,838.40

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Solution

The fourth proportional to 652,153.80, 978,230.70 and 178,838.40 is: 268,257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,153.80 : 978,230.70 = 178,838.40 : x
  2. Step 2: Convert to fraction form
    652,153.80/978,230.70 = 178,838.40/x
  3. Step 3: Cross multiply
    652,153.80x = 978,230.70 × 178,838.40
  4. Step 4: Simplify right side
    652,153.80x = 174,945,213,218.88
  5. Step 5: Solve for x
    x = 174,945,213,218.88/652,153.80
  6. Step 6: Final answer
    x = 268,257.60

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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.