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Finding the Fourth Proportional to 384,831.30, 577,310.13 and 118,591.86

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Solution

The fourth proportional to 384,831.30, 577,310.13 and 118,591.86 is: 177,907.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,831.30 : 577,310.13 = 118,591.86 : x
  2. Step 2: Convert to fraction form
    384,831.30/577,310.13 = 118,591.86/x
  3. Step 3: Cross multiply
    384,831.30x = 577,310.13 × 118,591.86
  4. Step 4: Simplify right side
    384,831.30x = 68,464,282,113.54
  5. Step 5: Solve for x
    x = 68,464,282,113.54/384,831.30
  6. Step 6: Final answer
    x = 177,907.26

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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.