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Finding the Fourth Proportional to 467,135.94, 644,647.59 and 252,276.06

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Solution

The fourth proportional to 467,135.94, 644,647.59 and 252,276.06 is: 348,140.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,135.94 : 644,647.59 = 252,276.06 : x
  2. Step 2: Convert to fraction form
    467,135.94/644,647.59 = 252,276.06/x
  3. Step 3: Cross multiply
    467,135.94x = 644,647.59 × 252,276.06
  4. Step 4: Simplify right side
    467,135.94x = 162,629,154,093.70
  5. Step 5: Solve for x
    x = 162,629,154,093.70/467,135.94
  6. Step 6: Final answer
    x = 348,140.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.