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Finding the Fourth Proportional to 294,685.68, 442,159.20 and 154,410.96

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Solution

The fourth proportional to 294,685.68, 442,159.20 and 154,410.96 is: 231,684.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,685.68 : 442,159.20 = 154,410.96 : x
  2. Step 2: Convert to fraction form
    294,685.68/442,159.20 = 154,410.96/x
  3. Step 3: Cross multiply
    294,685.68x = 442,159.20 × 154,410.96
  4. Step 4: Simplify right side
    294,685.68x = 68,274,226,544.83
  5. Step 5: Solve for x
    x = 68,274,226,544.83/294,685.68
  6. Step 6: Final answer
    x = 231,684.91

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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.