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Finding the Fourth Proportional to 293,310.14, 439,950.62 and 160,449.90

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Solution

The fourth proportional to 293,310.14, 439,950.62 and 160,449.90 is: 240,666.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,310.14 : 439,950.62 = 160,449.90 : x
  2. Step 2: Convert to fraction form
    293,310.14/439,950.62 = 160,449.90/x
  3. Step 3: Cross multiply
    293,310.14x = 439,950.62 × 160,449.90
  4. Step 4: Simplify right side
    293,310.14x = 70,590,032,983.94
  5. Step 5: Solve for x
    x = 70,590,032,983.94/293,310.14
  6. Step 6: Final answer
    x = 240,666.87

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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.