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Finding the Fourth Proportional to 591,648, 887,472 and 197,664

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Solution

The fourth proportional to 591,648, 887,472 and 197,664 is: 296,496

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,648 : 887,472 = 197,664 : x
  2. Step 2: Convert to fraction form
    591,648/887,472 = 197,664/x
  3. Step 3: Cross multiply
    591,648x = 887,472 × 197,664
  4. Step 4: Simplify right side
    591,648x = 175,421,265,408
  5. Step 5: Solve for x
    x = 175,421,265,408/591,648
  6. Step 6: Final answer
    x = 296,496

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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.