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Finding the Fourth Proportional to 343,985.40, 515,805.30 and 156,785.40

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Solution

The fourth proportional to 343,985.40, 515,805.30 and 156,785.40 is: 235,099.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,985.40 : 515,805.30 = 156,785.40 : x
  2. Step 2: Convert to fraction form
    343,985.40/515,805.30 = 156,785.40/x
  3. Step 3: Cross multiply
    343,985.40x = 515,805.30 × 156,785.40
  4. Step 4: Simplify right side
    343,985.40x = 80,870,740,282.62
  5. Step 5: Solve for x
    x = 80,870,740,282.62/343,985.40
  6. Step 6: Final answer
    x = 235,099.34

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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.