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Finding the Fourth Proportional to 465,574.51, 698,075.95 and 180,932.70

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Solution

The fourth proportional to 465,574.51, 698,075.95 and 180,932.70 is: 271,287.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,574.51 : 698,075.95 = 180,932.70 : x
  2. Step 2: Convert to fraction form
    465,574.51/698,075.95 = 180,932.70/x
  3. Step 3: Cross multiply
    465,574.51x = 698,075.95 × 180,932.70
  4. Step 4: Simplify right side
    465,574.51x = 126,304,766,438.57
  5. Step 5: Solve for x
    x = 126,304,766,438.57/465,574.51
  6. Step 6: Final answer
    x = 271,287.98

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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.