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Finding the Fourth Proportional to 329,014.80, 493,637.40 and 142,160.40

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Solution

The fourth proportional to 329,014.80, 493,637.40 and 142,160.40 is: 213,290.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,014.80 : 493,637.40 = 142,160.40 : x
  2. Step 2: Convert to fraction form
    329,014.80/493,637.40 = 142,160.40/x
  3. Step 3: Cross multiply
    329,014.80x = 493,637.40 × 142,160.40
  4. Step 4: Simplify right side
    329,014.80x = 70,175,690,238.96
  5. Step 5: Solve for x
    x = 70,175,690,238.96/329,014.80
  6. Step 6: Final answer
    x = 213,290.38

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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.