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Finding the Fourth Proportional to 587,202, 880,846.92 and 166,511.76

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Solution

The fourth proportional to 587,202, 880,846.92 and 166,511.76 is: 249,780.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,202 : 880,846.92 = 166,511.76 : x
  2. Step 2: Convert to fraction form
    587,202/880,846.92 = 166,511.76/x
  3. Step 3: Cross multiply
    587,202x = 880,846.92 × 166,511.76
  4. Step 4: Simplify right side
    587,202x = 146,671,370,939.78
  5. Step 5: Solve for x
    x = 146,671,370,939.78/587,202
  6. Step 6: Final answer
    x = 249,780.09

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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.