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Finding the Fourth Proportional to 294,659.02, 442,119.66 and 154,384.84

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Solution

The fourth proportional to 294,659.02, 442,119.66 and 154,384.84 is: 231,645.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,659.02 : 442,119.66 = 154,384.84 : x
  2. Step 2: Convert to fraction form
    294,659.02/442,119.66 = 154,384.84/x
  3. Step 3: Cross multiply
    294,659.02x = 442,119.66 × 154,384.84
  4. Step 4: Simplify right side
    294,659.02x = 68,256,572,969.95
  5. Step 5: Solve for x
    x = 68,256,572,969.95/294,659.02
  6. Step 6: Final answer
    x = 231,645.96

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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.