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Finding the Fourth Proportional to 232,879.12, 349,311.28 and 64,409.60

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Solution

The fourth proportional to 232,879.12, 349,311.28 and 64,409.60 is: 96,612.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,879.12 : 349,311.28 = 64,409.60 : x
  2. Step 2: Convert to fraction form
    232,879.12/349,311.28 = 64,409.60/x
  3. Step 3: Cross multiply
    232,879.12x = 349,311.28 × 64,409.60
  4. Step 4: Simplify right side
    232,879.12x = 22,498,999,820.29
  5. Step 5: Solve for x
    x = 22,498,999,820.29/232,879.12
  6. Step 6: Final answer
    x = 96,612.35

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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.