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Finding the Fourth Proportional to 392,539.94, 588,890.38 and 152,648.18

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Solution

The fourth proportional to 392,539.94, 588,890.38 and 152,648.18 is: 229,003.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,539.94 : 588,890.38 = 152,648.18 : x
  2. Step 2: Convert to fraction form
    392,539.94/588,890.38 = 152,648.18/x
  3. Step 3: Cross multiply
    392,539.94x = 588,890.38 × 152,648.18
  4. Step 4: Simplify right side
    392,539.94x = 89,893,044,726.51
  5. Step 5: Solve for x
    x = 89,893,044,726.51/392,539.94
  6. Step 6: Final answer
    x = 229,003.56

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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.