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Finding the Fourth Proportional to 288,520.80, 432,781.20 and 274,742.70

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Solution

The fourth proportional to 288,520.80, 432,781.20 and 274,742.70 is: 412,114.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,520.80 : 432,781.20 = 274,742.70 : x
  2. Step 2: Convert to fraction form
    288,520.80/432,781.20 = 274,742.70/x
  3. Step 3: Cross multiply
    288,520.80x = 432,781.20 × 274,742.70
  4. Step 4: Simplify right side
    288,520.80x = 118,903,475,397.24
  5. Step 5: Solve for x
    x = 118,903,475,397.24/288,520.80
  6. Step 6: Final answer
    x = 412,114.05

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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.