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Finding the Fourth Proportional to 467,412, 645,014.88 and 263,474.88

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Solution

The fourth proportional to 467,412, 645,014.88 and 263,474.88 is: 363,587.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,412 : 645,014.88 = 263,474.88 : x
  2. Step 2: Convert to fraction form
    467,412/645,014.88 = 263,474.88/x
  3. Step 3: Cross multiply
    467,412x = 645,014.88 × 263,474.88
  4. Step 4: Simplify right side
    467,412x = 169,945,218,106.21
  5. Step 5: Solve for x
    x = 169,945,218,106.21/467,412
  6. Step 6: Final answer
    x = 363,587.62

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