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Finding the Fourth Proportional to 310,288.16, 465,195.44 and 160,432.78

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Solution

The fourth proportional to 310,288.16, 465,195.44 and 160,432.78 is: 240,526.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,288.16 : 465,195.44 = 160,432.78 : x
  2. Step 2: Convert to fraction form
    310,288.16/465,195.44 = 160,432.78/x
  3. Step 3: Cross multiply
    310,288.16x = 465,195.44 × 160,432.78
  4. Step 4: Simplify right side
    310,288.16x = 74,632,597,682.52
  5. Step 5: Solve for x
    x = 74,632,597,682.52/310,288.16
  6. Step 6: Final answer
    x = 240,526.73

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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.