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Finding the Fourth Proportional to 469,510.80, 704,266.20 and 137,086.80

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Solution

The fourth proportional to 469,510.80, 704,266.20 and 137,086.80 is: 205,630.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,510.80 : 704,266.20 = 137,086.80 : x
  2. Step 2: Convert to fraction form
    469,510.80/704,266.20 = 137,086.80/x
  3. Step 3: Cross multiply
    469,510.80x = 704,266.20 × 137,086.80
  4. Step 4: Simplify right side
    469,510.80x = 96,545,599,706.16
  5. Step 5: Solve for x
    x = 96,545,599,706.16/469,510.80
  6. Step 6: Final answer
    x = 205,630.20

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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.