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Finding the Fourth Proportional to 462,703.80, 694,128.60 and 147,192.60

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Solution

The fourth proportional to 462,703.80, 694,128.60 and 147,192.60 is: 220,812.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,703.80 : 694,128.60 = 147,192.60 : x
  2. Step 2: Convert to fraction form
    462,703.80/694,128.60 = 147,192.60/x
  3. Step 3: Cross multiply
    462,703.80x = 694,128.60 × 147,192.60
  4. Step 4: Simplify right side
    462,703.80x = 102,170,593,368.36
  5. Step 5: Solve for x
    x = 102,170,593,368.36/462,703.80
  6. Step 6: Final answer
    x = 220,812.09

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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.