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Finding the Fourth Proportional to 265,800.87, 398,584.26 and 97,277.40

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Solution

The fourth proportional to 265,800.87, 398,584.26 and 97,277.40 is: 145,873.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,800.87 : 398,584.26 = 97,277.40 : x
  2. Step 2: Convert to fraction form
    265,800.87/398,584.26 = 97,277.40/x
  3. Step 3: Cross multiply
    265,800.87x = 398,584.26 × 97,277.40
  4. Step 4: Simplify right side
    265,800.87x = 38,773,240,493.72
  5. Step 5: Solve for x
    x = 38,773,240,493.72/265,800.87
  6. Step 6: Final answer
    x = 145,873.26

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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.