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Finding the Fourth Proportional to 462,783.42, 694,180.89 and 147,239.10

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Solution

The fourth proportional to 462,783.42, 694,180.89 and 147,239.10 is: 220,860.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,783.42 : 694,180.89 = 147,239.10 : x
  2. Step 2: Convert to fraction form
    462,783.42/694,180.89 = 147,239.10/x
  3. Step 3: Cross multiply
    462,783.42x = 694,180.89 × 147,239.10
  4. Step 4: Simplify right side
    462,783.42x = 102,210,569,480.80
  5. Step 5: Solve for x
    x = 102,210,569,480.80/462,783.42
  6. Step 6: Final answer
    x = 220,860.48

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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.