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Finding the Fourth Proportional to 383,543.53, 575,259.82 and 117,232.54

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Solution

The fourth proportional to 383,543.53, 575,259.82 and 117,232.54 is: 175,831.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,543.53 : 575,259.82 = 117,232.54 : x
  2. Step 2: Convert to fraction form
    383,543.53/575,259.82 = 117,232.54/x
  3. Step 3: Cross multiply
    383,543.53x = 575,259.82 × 117,232.54
  4. Step 4: Simplify right side
    383,543.53x = 67,439,170,404.66
  5. Step 5: Solve for x
    x = 67,439,170,404.66/383,543.53
  6. Step 6: Final answer
    x = 175,831.85

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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.