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Finding the Fourth Proportional to 313,634.40, 469,760.40 and 272,162.40

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Solution

The fourth proportional to 313,634.40, 469,760.40 and 272,162.40 is: 407,643.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,634.40 : 469,760.40 = 272,162.40 : x
  2. Step 2: Convert to fraction form
    313,634.40/469,760.40 = 272,162.40/x
  3. Step 3: Cross multiply
    313,634.40x = 469,760.40 × 272,162.40
  4. Step 4: Simplify right side
    313,634.40x = 127,851,117,888.96
  5. Step 5: Solve for x
    x = 127,851,117,888.96/313,634.40
  6. Step 6: Final answer
    x = 407,643.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.