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Finding the Fourth Proportional to 342,002.20, 512,420.10 and 282,515.80

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Solution

The fourth proportional to 342,002.20, 512,420.10 and 282,515.80 is: 423,291.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,002.20 : 512,420.10 = 282,515.80 : x
  2. Step 2: Convert to fraction form
    342,002.20/512,420.10 = 282,515.80/x
  3. Step 3: Cross multiply
    342,002.20x = 512,420.10 × 282,515.80
  4. Step 4: Simplify right side
    342,002.20x = 144,766,774,487.58
  5. Step 5: Solve for x
    x = 144,766,774,487.58/342,002.20
  6. Step 6: Final answer
    x = 423,291.94

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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.