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Finding the Fourth Proportional to 265,612.50, 398,496.78 and 78,628.86

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Solution

The fourth proportional to 265,612.50, 398,496.78 and 78,628.86 is: 117,966.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,612.50 : 398,496.78 = 78,628.86 : x
  2. Step 2: Convert to fraction form
    265,612.50/398,496.78 = 78,628.86/x
  3. Step 3: Cross multiply
    265,612.50x = 398,496.78 × 78,628.86
  4. Step 4: Simplify right side
    265,612.50x = 31,333,347,525.07
  5. Step 5: Solve for x
    x = 31,333,347,525.07/265,612.50
  6. Step 6: Final answer
    x = 117,966.39

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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.