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Finding the Fourth Proportional to 409,947.80, 614,921.70 and 144,008.60

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Solution

The fourth proportional to 409,947.80, 614,921.70 and 144,008.60 is: 216,012.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,947.80 : 614,921.70 = 144,008.60 : x
  2. Step 2: Convert to fraction form
    409,947.80/614,921.70 = 144,008.60/x
  3. Step 3: Cross multiply
    409,947.80x = 614,921.70 × 144,008.60
  4. Step 4: Simplify right side
    409,947.80x = 88,554,013,126.62
  5. Step 5: Solve for x
    x = 88,554,013,126.62/409,947.80
  6. Step 6: Final answer
    x = 216,012.90

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1.5x scale

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.