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Finding the Fourth Proportional to 340,026.70, 510,040.05 and 204,724.30

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Solution

The fourth proportional to 340,026.70, 510,040.05 and 204,724.30 is: 307,086.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,026.70 : 510,040.05 = 204,724.30 : x
  2. Step 2: Convert to fraction form
    340,026.70/510,040.05 = 204,724.30/x
  3. Step 3: Cross multiply
    340,026.70x = 510,040.05 × 204,724.30
  4. Step 4: Simplify right side
    340,026.70x = 104,417,592,208.22
  5. Step 5: Solve for x
    x = 104,417,592,208.22/340,026.70
  6. Step 6: Final answer
    x = 307,086.45

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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.