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Finding the Fourth Proportional to 415,334.90, 623,002.35 and 273,617.30

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Solution

The fourth proportional to 415,334.90, 623,002.35 and 273,617.30 is: 410,425.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,334.90 : 623,002.35 = 273,617.30 : x
  2. Step 2: Convert to fraction form
    415,334.90/623,002.35 = 273,617.30/x
  3. Step 3: Cross multiply
    415,334.90x = 623,002.35 × 273,617.30
  4. Step 4: Simplify right side
    415,334.90x = 170,464,220,900.66
  5. Step 5: Solve for x
    x = 170,464,220,900.66/415,334.90
  6. Step 6: Final answer
    x = 410,425.95

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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.