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Finding the Fourth Proportional to 317,106.38, 437,620.47 and 189,757.46

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Solution

The fourth proportional to 317,106.38, 437,620.47 and 189,757.46 is: 261,873.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,106.38 : 437,620.47 = 189,757.46 : x
  2. Step 2: Convert to fraction form
    317,106.38/437,620.47 = 189,757.46/x
  3. Step 3: Cross multiply
    317,106.38x = 437,620.47 × 189,757.46
  4. Step 4: Simplify right side
    317,106.38x = 83,041,748,831.21
  5. Step 5: Solve for x
    x = 83,041,748,831.21/317,106.38
  6. Step 6: Final answer
    x = 261,873.47

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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.