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Finding the Fourth Proportional to 329,117.40, 493,676.10 and 275,973.30

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Solution

The fourth proportional to 329,117.40, 493,676.10 and 275,973.30 is: 413,959.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,117.40 : 493,676.10 = 275,973.30 : x
  2. Step 2: Convert to fraction form
    329,117.40/493,676.10 = 275,973.30/x
  3. Step 3: Cross multiply
    329,117.40x = 493,676.10 × 275,973.30
  4. Step 4: Simplify right side
    329,117.40x = 136,241,422,448.13
  5. Step 5: Solve for x
    x = 136,241,422,448.13/329,117.40
  6. Step 6: Final answer
    x = 413,959.95

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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.