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Finding the Fourth Proportional to 472,978.98, 652,724.82 and 258,132.84

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Solution

The fourth proportional to 472,978.98, 652,724.82 and 258,132.84 is: 356,230.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,978.98 : 652,724.82 = 258,132.84 : x
  2. Step 2: Convert to fraction form
    472,978.98/652,724.82 = 258,132.84/x
  3. Step 3: Cross multiply
    472,978.98x = 652,724.82 × 258,132.84
  4. Step 4: Simplify right side
    472,978.98x = 168,489,711,525.09
  5. Step 5: Solve for x
    x = 168,489,711,525.09/472,978.98
  6. Step 6: Final answer
    x = 356,230.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.