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Finding the Fourth Proportional to 410,980.32, 616,520.30 and 144,686.34

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Solution

The fourth proportional to 410,980.32, 616,520.30 and 144,686.34 is: 217,047.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,980.32 : 616,520.30 = 144,686.34 : x
  2. Step 2: Convert to fraction form
    410,980.32/616,520.30 = 144,686.34/x
  3. Step 3: Cross multiply
    410,980.32x = 616,520.30 × 144,686.34
  4. Step 4: Simplify right side
    410,980.32x = 89,202,065,019.27
  5. Step 5: Solve for x
    x = 89,202,065,019.27/410,980.32
  6. Step 6: Final answer
    x = 217,047.05

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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.