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Finding the Fourth Proportional to 385,797.77, 532,540.67 and 314,053.23

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Solution

The fourth proportional to 385,797.77, 532,540.67 and 314,053.23 is: 433,507.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,797.77 : 532,540.67 = 314,053.23 : x
  2. Step 2: Convert to fraction form
    385,797.77/532,540.67 = 314,053.23/x
  3. Step 3: Cross multiply
    385,797.77x = 532,540.67 × 314,053.23
  4. Step 4: Simplify right side
    385,797.77x = 167,246,115,949.60
  5. Step 5: Solve for x
    x = 167,246,115,949.60/385,797.77
  6. Step 6: Final answer
    x = 433,507.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.