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Finding the Fourth Proportional to 687,588.52, 948,993.38 and 433,019.56

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Solution

The fourth proportional to 687,588.52, 948,993.38 and 433,019.56 is: 597,643.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,588.52 : 948,993.38 = 433,019.56 : x
  2. Step 2: Convert to fraction form
    687,588.52/948,993.38 = 433,019.56/x
  3. Step 3: Cross multiply
    687,588.52x = 948,993.38 × 433,019.56
  4. Step 4: Simplify right side
    687,588.52x = 410,932,695,850.51
  5. Step 5: Solve for x
    x = 410,932,695,850.51/687,588.52
  6. Step 6: Final answer
    x = 597,643.33

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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.