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Finding the Fourth Proportional to 343,747.20, 516,009.60 and 265,209.60

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Solution

The fourth proportional to 343,747.20, 516,009.60 and 265,209.60 is: 398,114.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,747.20 : 516,009.60 = 265,209.60 : x
  2. Step 2: Convert to fraction form
    343,747.20/516,009.60 = 265,209.60/x
  3. Step 3: Cross multiply
    343,747.20x = 516,009.60 × 265,209.60
  4. Step 4: Simplify right side
    343,747.20x = 136,850,699,612.16
  5. Step 5: Solve for x
    x = 136,850,699,612.16/343,747.20
  6. Step 6: Final answer
    x = 398,114.37

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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.