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Finding the Fourth Proportional to 442,580.88, 663,278.34 and 414,237.36

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Solution

The fourth proportional to 442,580.88, 663,278.34 and 414,237.36 is: 620,801.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,580.88 : 663,278.34 = 414,237.36 : x
  2. Step 2: Convert to fraction form
    442,580.88/663,278.34 = 414,237.36/x
  3. Step 3: Cross multiply
    442,580.88x = 663,278.34 × 414,237.36
  4. Step 4: Simplify right side
    442,580.88x = 274,754,668,506.78
  5. Step 5: Solve for x
    x = 274,754,668,506.78/442,580.88
  6. Step 6: Final answer
    x = 620,801.04

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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.