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Finding the Fourth Proportional to 289,487.20, 434,230.80 and 260,456.80

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Solution

The fourth proportional to 289,487.20, 434,230.80 and 260,456.80 is: 390,685.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,487.20 : 434,230.80 = 260,456.80 : x
  2. Step 2: Convert to fraction form
    289,487.20/434,230.80 = 260,456.80/x
  3. Step 3: Cross multiply
    289,487.20x = 434,230.80 × 260,456.80
  4. Step 4: Simplify right side
    289,487.20x = 113,098,364,629.44
  5. Step 5: Solve for x
    x = 113,098,364,629.44/289,487.20
  6. Step 6: Final answer
    x = 390,685.20

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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.