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Finding the Fourth Proportional to 219,512.28, 329,718.42 and 144,740.28

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Solution

The fourth proportional to 219,512.28, 329,718.42 and 144,740.28 is: 217,407.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,512.28 : 329,718.42 = 144,740.28 : x
  2. Step 2: Convert to fraction form
    219,512.28/329,718.42 = 144,740.28/x
  3. Step 3: Cross multiply
    219,512.28x = 329,718.42 × 144,740.28
  4. Step 4: Simplify right side
    219,512.28x = 47,723,536,431.96
  5. Step 5: Solve for x
    x = 47,723,536,431.96/219,512.28
  6. Step 6: Final answer
    x = 217,407.14

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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.