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Finding the Fourth Proportional to 260,726.40, 391,381.20 and 201,823.20

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Solution

The fourth proportional to 260,726.40, 391,381.20 and 201,823.20 is: 302,960.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,726.40 : 391,381.20 = 201,823.20 : x
  2. Step 2: Convert to fraction form
    260,726.40/391,381.20 = 201,823.20/x
  3. Step 3: Cross multiply
    260,726.40x = 391,381.20 × 201,823.20
  4. Step 4: Simplify right side
    260,726.40x = 78,989,806,203.84
  5. Step 5: Solve for x
    x = 78,989,806,203.84/260,726.40
  6. Step 6: Final answer
    x = 302,960.52

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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.