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Finding the Fourth Proportional to 399,423.25, 599,320.11 and 174,754.06

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Solution

The fourth proportional to 399,423.25, 599,320.11 and 174,754.06 is: 262,212.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,423.25 : 599,320.11 = 174,754.06 : x
  2. Step 2: Convert to fraction form
    399,423.25/599,320.11 = 174,754.06/x
  3. Step 3: Cross multiply
    399,423.25x = 599,320.11 × 174,754.06
  4. Step 4: Simplify right side
    399,423.25x = 104,733,621,619.17
  5. Step 5: Solve for x
    x = 104,733,621,619.17/399,423.25
  6. Step 6: Final answer
    x = 262,212.13

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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.