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Finding the Fourth Proportional to 409,820.20, 614,730.30 and 344,866.30

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Solution

The fourth proportional to 409,820.20, 614,730.30 and 344,866.30 is: 517,299.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,820.20 : 614,730.30 = 344,866.30 : x
  2. Step 2: Convert to fraction form
    409,820.20/614,730.30 = 344,866.30/x
  3. Step 3: Cross multiply
    409,820.20x = 614,730.30 × 344,866.30
  4. Step 4: Simplify right side
    409,820.20x = 211,999,764,058.89
  5. Step 5: Solve for x
    x = 211,999,764,058.89/409,820.20
  6. Step 6: Final answer
    x = 517,299.45

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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.