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Finding the Fourth Proportional to 410,982.32, 616,523.30 and 144,688.34

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Solution

The fourth proportional to 410,982.32, 616,523.30 and 144,688.34 is: 217,050.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,982.32 : 616,523.30 = 144,688.34 : x
  2. Step 2: Convert to fraction form
    410,982.32/616,523.30 = 144,688.34/x
  3. Step 3: Cross multiply
    410,982.32x = 616,523.30 × 144,688.34
  4. Step 4: Simplify right side
    410,982.32x = 89,203,732,848.32
  5. Step 5: Solve for x
    x = 89,203,732,848.32/410,982.32
  6. Step 6: Final answer
    x = 217,050.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.