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Finding the Fourth Proportional to 289,752.80, 434,629.20 and 177,778.40

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Solution

The fourth proportional to 289,752.80, 434,629.20 and 177,778.40 is: 266,667.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,752.80 : 434,629.20 = 177,778.40 : x
  2. Step 2: Convert to fraction form
    289,752.80/434,629.20 = 177,778.40/x
  3. Step 3: Cross multiply
    289,752.80x = 434,629.20 × 177,778.40
  4. Step 4: Simplify right side
    289,752.80x = 77,267,683,769.28
  5. Step 5: Solve for x
    x = 77,267,683,769.28/289,752.80
  6. Step 6: Final answer
    x = 266,667.60

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Similar ratio
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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.