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Finding the Fourth Proportional to 659,233, 988,799.82 and 209,935.72

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Solution

The fourth proportional to 659,233, 988,799.82 and 209,935.72 is: 314,887.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,233 : 988,799.82 = 209,935.72 : x
  2. Step 2: Convert to fraction form
    659,233/988,799.82 = 209,935.72/x
  3. Step 3: Cross multiply
    659,233x = 988,799.82 × 209,935.72
  4. Step 4: Simplify right side
    659,233x = 207,584,402,147.57
  5. Step 5: Solve for x
    x = 207,584,402,147.57/659,233
  6. Step 6: Final answer
    x = 314,887.76

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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.