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Finding the Fourth Proportional to 310,044.87, 464,974.88 and 120,534.66

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Solution

The fourth proportional to 310,044.87, 464,974.88 and 120,534.66 is: 180,766.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,044.87 : 464,974.88 = 120,534.66 : x
  2. Step 2: Convert to fraction form
    310,044.87/464,974.88 = 120,534.66/x
  3. Step 3: Cross multiply
    310,044.87x = 464,974.88 × 120,534.66
  4. Step 4: Simplify right side
    310,044.87x = 56,045,588,466.67
  5. Step 5: Solve for x
    x = 56,045,588,466.67/310,044.87
  6. Step 6: Final answer
    x = 180,766.06

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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.