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Finding the Fourth Proportional to 293,400.87, 440,101.29 and 160,208.46

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Solution

The fourth proportional to 293,400.87, 440,101.29 and 160,208.46 is: 240,312.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,400.87 : 440,101.29 = 160,208.46 : x
  2. Step 2: Convert to fraction form
    293,400.87/440,101.29 = 160,208.46/x
  3. Step 3: Cross multiply
    293,400.87x = 440,101.29 × 160,208.46
  4. Step 4: Simplify right side
    293,400.87x = 70,507,949,914.91
  5. Step 5: Solve for x
    x = 70,507,949,914.91/293,400.87
  6. Step 6: Final answer
    x = 240,312.68

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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.