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Finding the Fourth Proportional to 343,213.80, 514,820.70 and 106,580.40

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Solution

The fourth proportional to 343,213.80, 514,820.70 and 106,580.40 is: 159,870.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,213.80 : 514,820.70 = 106,580.40 : x
  2. Step 2: Convert to fraction form
    343,213.80/514,820.70 = 106,580.40/x
  3. Step 3: Cross multiply
    343,213.80x = 514,820.70 × 106,580.40
  4. Step 4: Simplify right side
    343,213.80x = 54,869,796,134.28
  5. Step 5: Solve for x
    x = 54,869,796,134.28/343,213.80
  6. Step 6: Final answer
    x = 159,870.60

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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.