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Finding the Fourth Proportional to 286,812.80, 430,219.20 and 153,952.55

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Solution

The fourth proportional to 286,812.80, 430,219.20 and 153,952.55 is: 230,928.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,812.80 : 430,219.20 = 153,952.55 : x
  2. Step 2: Convert to fraction form
    286,812.80/430,219.20 = 153,952.55/x
  3. Step 3: Cross multiply
    286,812.80x = 430,219.20 × 153,952.55
  4. Step 4: Simplify right side
    286,812.80x = 66,233,342,898.96
  5. Step 5: Solve for x
    x = 66,233,342,898.96/286,812.80
  6. Step 6: Final answer
    x = 230,928.83

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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.