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Finding the Fourth Proportional to 408,127.84, 609,105.50 and 397,499.02

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Solution

The fourth proportional to 408,127.84, 609,105.50 and 397,499.02 is: 593,242.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,127.84 : 609,105.50 = 397,499.02 : x
  2. Step 2: Convert to fraction form
    408,127.84/609,105.50 = 397,499.02/x
  3. Step 3: Cross multiply
    408,127.84x = 609,105.50 × 397,499.02
  4. Step 4: Simplify right side
    408,127.84x = 242,118,839,326.61
  5. Step 5: Solve for x
    x = 242,118,839,326.61/408,127.84
  6. Step 6: Final answer
    x = 593,242.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.