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Finding the Fourth Proportional to 343,750.20, 516,014.10 and 265,212.60

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Solution

The fourth proportional to 343,750.20, 516,014.10 and 265,212.60 is: 398,118.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,750.20 : 516,014.10 = 265,212.60 : x
  2. Step 2: Convert to fraction form
    343,750.20/516,014.10 = 265,212.60/x
  3. Step 3: Cross multiply
    343,750.20x = 516,014.10 × 265,212.60
  4. Step 4: Simplify right side
    343,750.20x = 136,853,441,097.66
  5. Step 5: Solve for x
    x = 136,853,441,097.66/343,750.20
  6. Step 6: Final answer
    x = 398,118.87

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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.