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Finding the Fourth Proportional to 354,811.40, 532,217.10 and 340,814.60

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Solution

The fourth proportional to 354,811.40, 532,217.10 and 340,814.60 is: 511,221.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,811.40 : 532,217.10 = 340,814.60 : x
  2. Step 2: Convert to fraction form
    354,811.40/532,217.10 = 340,814.60/x
  3. Step 3: Cross multiply
    354,811.40x = 532,217.10 × 340,814.60
  4. Step 4: Simplify right side
    354,811.40x = 181,387,358,049.66
  5. Step 5: Solve for x
    x = 181,387,358,049.66/354,811.40
  6. Step 6: Final answer
    x = 511,221.90

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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.