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Finding the Fourth Proportional to 309,521.93, 464,503.41 and 141,064.61

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Solution

The fourth proportional to 309,521.93, 464,503.41 and 141,064.61 is: 211,697.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,521.93 : 464,503.41 = 141,064.61 : x
  2. Step 2: Convert to fraction form
    309,521.93/464,503.41 = 141,064.61/x
  3. Step 3: Cross multiply
    309,521.93x = 464,503.41 × 141,064.61
  4. Step 4: Simplify right side
    309,521.93x = 65,524,990,052.80
  5. Step 5: Solve for x
    x = 65,524,990,052.80/309,521.93
  6. Step 6: Final answer
    x = 211,697.41

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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.