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Finding the Fourth Proportional to 265,924.63, 398,960.76 and 147,679.01

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Solution

The fourth proportional to 265,924.63, 398,960.76 and 147,679.01 is: 221,559.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,924.63 : 398,960.76 = 147,679.01 : x
  2. Step 2: Convert to fraction form
    265,924.63/398,960.76 = 147,679.01/x
  3. Step 3: Cross multiply
    265,924.63x = 398,960.76 × 147,679.01
  4. Step 4: Simplify right side
    265,924.63x = 58,918,128,167.97
  5. Step 5: Solve for x
    x = 58,918,128,167.97/265,924.63
  6. Step 6: Final answer
    x = 221,559.50

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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.