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Finding the Fourth Proportional to 659,204.74, 988,808.73 and 185,892.58

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Solution

The fourth proportional to 659,204.74, 988,808.73 and 185,892.58 is: 278,839.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,204.74 : 988,808.73 = 185,892.58 : x
  2. Step 2: Convert to fraction form
    659,204.74/988,808.73 = 185,892.58/x
  3. Step 3: Cross multiply
    659,204.74x = 988,808.73 × 185,892.58
  4. Step 4: Simplify right side
    659,204.74x = 183,812,205,946.22
  5. Step 5: Solve for x
    x = 183,812,205,946.22/659,204.74
  6. Step 6: Final answer
    x = 278,839.33

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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.