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Finding the Fourth Proportional to 294,452.94, 441,721.92 and 144,701.76

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Solution

The fourth proportional to 294,452.94, 441,721.92 and 144,701.76 is: 217,073.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,452.94 : 441,721.92 = 144,701.76 : x
  2. Step 2: Convert to fraction form
    294,452.94/441,721.92 = 144,701.76/x
  3. Step 3: Cross multiply
    294,452.94x = 441,721.92 × 144,701.76
  4. Step 4: Simplify right side
    294,452.94x = 63,917,939,254.58
  5. Step 5: Solve for x
    x = 63,917,939,254.58/294,452.94
  6. Step 6: Final answer
    x = 217,073.53

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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.