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Finding the Fourth Proportional to 587,197, 880,839.42 and 166,506.76

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Solution

The fourth proportional to 587,197, 880,839.42 and 166,506.76 is: 249,772.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,197 : 880,839.42 = 166,506.76 : x
  2. Step 2: Convert to fraction form
    587,197/880,839.42 = 166,506.76/x
  3. Step 3: Cross multiply
    587,197x = 880,839.42 × 166,506.76
  4. Step 4: Simplify right side
    587,197x = 146,665,717,904.48
  5. Step 5: Solve for x
    x = 146,665,717,904.48/587,197
  6. Step 6: Final answer
    x = 249,772.59

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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.