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Finding the Fourth Proportional to 343,909.40, 515,864.10 and 325,538.60

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Solution

The fourth proportional to 343,909.40, 515,864.10 and 325,538.60 is: 488,307.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,909.40 : 515,864.10 = 325,538.60 : x
  2. Step 2: Convert to fraction form
    343,909.40/515,864.10 = 325,538.60/x
  3. Step 3: Cross multiply
    343,909.40x = 515,864.10 × 325,538.60
  4. Step 4: Simplify right side
    343,909.40x = 167,933,676,904.26
  5. Step 5: Solve for x
    x = 167,933,676,904.26/343,909.40
  6. Step 6: Final answer
    x = 488,307.90

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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.