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Finding the Fourth Proportional to 319,087.80, 440,340.14 and 175,847.80

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Solution

The fourth proportional to 319,087.80, 440,340.14 and 175,847.80 is: 242,669.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,087.80 : 440,340.14 = 175,847.80 : x
  2. Step 2: Convert to fraction form
    319,087.80/440,340.14 = 175,847.80/x
  3. Step 3: Cross multiply
    319,087.80x = 440,340.14 × 175,847.80
  4. Step 4: Simplify right side
    319,087.80x = 77,432,844,870.69
  5. Step 5: Solve for x
    x = 77,432,844,870.69/319,087.80
  6. Step 6: Final answer
    x = 242,669.40

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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.