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Finding the Fourth Proportional to 343,909.60, 515,864.40 and 186,445.60

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Solution

The fourth proportional to 343,909.60, 515,864.40 and 186,445.60 is: 279,668.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,909.60 : 515,864.40 = 186,445.60 : x
  2. Step 2: Convert to fraction form
    343,909.60/515,864.40 = 186,445.60/x
  3. Step 3: Cross multiply
    343,909.60x = 515,864.40 × 186,445.60
  4. Step 4: Simplify right side
    343,909.60x = 96,180,647,576.64
  5. Step 5: Solve for x
    x = 96,180,647,576.64/343,909.60
  6. Step 6: Final answer
    x = 279,668.40

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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.