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Finding the Fourth Proportional to 659,732.33, 989,616.95 and 233,207.87

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Solution

The fourth proportional to 659,732.33, 989,616.95 and 233,207.87 is: 349,818.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,732.33 : 989,616.95 = 233,207.87 : x
  2. Step 2: Convert to fraction form
    659,732.33/989,616.95 = 233,207.87/x
  3. Step 3: Cross multiply
    659,732.33x = 989,616.95 × 233,207.87
  4. Step 4: Simplify right side
    659,732.33x = 230,786,461,025.40
  5. Step 5: Solve for x
    x = 230,786,461,025.40/659,732.33
  6. Step 6: Final answer
    x = 349,818.33

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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.