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Finding the Fourth Proportional to 410,252.94, 614,187.66 and 238,952.34

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Solution

The fourth proportional to 410,252.94, 614,187.66 and 238,952.34 is: 357,734.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,252.94 : 614,187.66 = 238,952.34 : x
  2. Step 2: Convert to fraction form
    410,252.94/614,187.66 = 238,952.34/x
  3. Step 3: Cross multiply
    410,252.94x = 614,187.66 × 238,952.34
  4. Step 4: Simplify right side
    410,252.94x = 146,761,578,556.12
  5. Step 5: Solve for x
    x = 146,761,578,556.12/410,252.94
  6. Step 6: Final answer
    x = 357,734.37

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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.