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Finding the Fourth Proportional to 343,314.20, 514,971.30 and 156,690.20

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Solution

The fourth proportional to 343,314.20, 514,971.30 and 156,690.20 is: 235,035.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,314.20 : 514,971.30 = 156,690.20 : x
  2. Step 2: Convert to fraction form
    343,314.20/514,971.30 = 156,690.20/x
  3. Step 3: Cross multiply
    343,314.20x = 514,971.30 × 156,690.20
  4. Step 4: Simplify right side
    343,314.20x = 80,690,955,991.26
  5. Step 5: Solve for x
    x = 80,690,955,991.26/343,314.20
  6. Step 6: Final answer
    x = 235,035.30

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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.