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Finding the Fourth Proportional to 349,352.42, 523,831.78 and 121,543.56

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Solution

The fourth proportional to 349,352.42, 523,831.78 and 121,543.56 is: 182,246.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,352.42 : 523,831.78 = 121,543.56 : x
  2. Step 2: Convert to fraction form
    349,352.42/523,831.78 = 121,543.56/x
  3. Step 3: Cross multiply
    349,352.42x = 523,831.78 × 121,543.56
  4. Step 4: Simplify right side
    349,352.42x = 63,668,378,774.62
  5. Step 5: Solve for x
    x = 63,668,378,774.62/349,352.42
  6. Step 6: Final answer
    x = 182,246.85

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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.