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Finding the Fourth Proportional to 413,143.80, 619,715.70 and 147,204.60

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Solution

The fourth proportional to 413,143.80, 619,715.70 and 147,204.60 is: 220,806.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,143.80 : 619,715.70 = 147,204.60 : x
  2. Step 2: Convert to fraction form
    413,143.80/619,715.70 = 147,204.60/x
  3. Step 3: Cross multiply
    413,143.80x = 619,715.70 × 147,204.60
  4. Step 4: Simplify right side
    413,143.80x = 91,225,001,732.22
  5. Step 5: Solve for x
    x = 91,225,001,732.22/413,143.80
  6. Step 6: Final answer
    x = 220,806.90

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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.