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Finding the Fourth Proportional to 276,007.80, 413,720.10 and 157,423.80

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Solution

The fourth proportional to 276,007.80, 413,720.10 and 157,423.80 is: 235,969.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,007.80 : 413,720.10 = 157,423.80 : x
  2. Step 2: Convert to fraction form
    276,007.80/413,720.10 = 157,423.80/x
  3. Step 3: Cross multiply
    276,007.80x = 413,720.10 × 157,423.80
  4. Step 4: Simplify right side
    276,007.80x = 65,129,390,278.38
  5. Step 5: Solve for x
    x = 65,129,390,278.38/276,007.80
  6. Step 6: Final answer
    x = 235,969.38

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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.