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Finding the Fourth Proportional to 465,634.60, 698,549.10 and 265,791.40

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Solution

The fourth proportional to 465,634.60, 698,549.10 and 265,791.40 is: 398,742.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,634.60 : 698,549.10 = 265,791.40 : x
  2. Step 2: Convert to fraction form
    465,634.60/698,549.10 = 265,791.40/x
  3. Step 3: Cross multiply
    465,634.60x = 698,549.10 × 265,791.40
  4. Step 4: Simplify right side
    465,634.60x = 185,668,343,257.74
  5. Step 5: Solve for x
    x = 185,668,343,257.74/465,634.60
  6. Step 6: Final answer
    x = 398,742.58

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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.