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Finding the Fourth Proportional to 392,206.40, 588,315.36 and 96,718.40

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Solution

The fourth proportional to 392,206.40, 588,315.36 and 96,718.40 is: 145,079.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,206.40 : 588,315.36 = 96,718.40 : x
  2. Step 2: Convert to fraction form
    392,206.40/588,315.36 = 96,718.40/x
  3. Step 3: Cross multiply
    392,206.40x = 588,315.36 × 96,718.40
  4. Step 4: Simplify right side
    392,206.40x = 56,900,920,314.62
  5. Step 5: Solve for x
    x = 56,900,920,314.62/392,206.40
  6. Step 6: Final answer
    x = 145,079.02

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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.