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Finding the Fourth Proportional to 343,180.20, 514,530.30 and 202,866.60

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Solution

The fourth proportional to 343,180.20, 514,530.30 and 202,866.60 is: 304,158.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,180.20 : 514,530.30 = 202,866.60 : x
  2. Step 2: Convert to fraction form
    343,180.20/514,530.30 = 202,866.60/x
  3. Step 3: Cross multiply
    343,180.20x = 514,530.30 × 202,866.60
  4. Step 4: Simplify right side
    343,180.20x = 104,381,012,557.98
  5. Step 5: Solve for x
    x = 104,381,012,557.98/343,180.20
  6. Step 6: Final answer
    x = 304,158.03

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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.