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Finding the Fourth Proportional to 319,207.68, 478,949.76 and 171,290.88

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Solution

The fourth proportional to 319,207.68, 478,949.76 and 171,290.88 is: 257,010.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,207.68 : 478,949.76 = 171,290.88 : x
  2. Step 2: Convert to fraction form
    319,207.68/478,949.76 = 171,290.88/x
  3. Step 3: Cross multiply
    319,207.68x = 478,949.76 × 171,290.88
  4. Step 4: Simplify right side
    319,207.68x = 82,039,725,866.19
  5. Step 5: Solve for x
    x = 82,039,725,866.19/319,207.68
  6. Step 6: Final answer
    x = 257,010.50

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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.