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Finding the Fourth Proportional to 283,831.78, 391,687.44 and 156,507.70

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Solution

The fourth proportional to 283,831.78, 391,687.44 and 156,507.70 is: 215,980.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,831.78 : 391,687.44 = 156,507.70 : x
  2. Step 2: Convert to fraction form
    283,831.78/391,687.44 = 156,507.70/x
  3. Step 3: Cross multiply
    283,831.78x = 391,687.44 × 156,507.70
  4. Step 4: Simplify right side
    283,831.78x = 61,302,100,353.29
  5. Step 5: Solve for x
    x = 61,302,100,353.29/283,831.78
  6. Step 6: Final answer
    x = 215,980.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.