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Finding the Fourth Proportional to 399,876.50, 599,981.34 and 175,398.14

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Solution

The fourth proportional to 399,876.50, 599,981.34 and 175,398.14 is: 263,170.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,876.50 : 599,981.34 = 175,398.14 : x
  2. Step 2: Convert to fraction form
    399,876.50/599,981.34 = 175,398.14/x
  3. Step 3: Cross multiply
    399,876.50x = 599,981.34 × 175,398.14
  4. Step 4: Simplify right side
    399,876.50x = 105,235,611,070.71
  5. Step 5: Solve for x
    x = 105,235,611,070.71/399,876.50
  6. Step 6: Final answer
    x = 263,170.28

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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.