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Finding the Fourth Proportional to 294,514.80, 441,954.45 and 117,003.30

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Solution

The fourth proportional to 294,514.80, 441,954.45 and 117,003.30 is: 175,577.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,514.80 : 441,954.45 = 117,003.30 : x
  2. Step 2: Convert to fraction form
    294,514.80/441,954.45 = 117,003.30/x
  3. Step 3: Cross multiply
    294,514.80x = 441,954.45 × 117,003.30
  4. Step 4: Simplify right side
    294,514.80x = 51,710,129,099.69
  5. Step 5: Solve for x
    x = 51,710,129,099.69/294,514.80
  6. Step 6: Final answer
    x = 175,577.35

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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.