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Finding the Fourth Proportional to 399,802.15, 599,807 and 119,319.40

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Solution

The fourth proportional to 399,802.15, 599,807 and 119,319.40 is: 179,010.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,802.15 : 599,807 = 119,319.40 : x
  2. Step 2: Convert to fraction form
    399,802.15/599,807 = 119,319.40/x
  3. Step 3: Cross multiply
    399,802.15x = 599,807 × 119,319.40
  4. Step 4: Simplify right side
    399,802.15x = 71,568,611,355.80
  5. Step 5: Solve for x
    x = 71,568,611,355.80/399,802.15
  6. Step 6: Final answer
    x = 179,010.07

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Why These Related Problems?

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