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Finding the Fourth Proportional to 524,901.70, 787,352.55 and 209,584.90

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Solution

The fourth proportional to 524,901.70, 787,352.55 and 209,584.90 is: 314,377.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,901.70 : 787,352.55 = 209,584.90 : x
  2. Step 2: Convert to fraction form
    524,901.70/787,352.55 = 209,584.90/x
  3. Step 3: Cross multiply
    524,901.70x = 787,352.55 × 209,584.90
  4. Step 4: Simplify right side
    524,901.70x = 165,017,205,456.50
  5. Step 5: Solve for x
    x = 165,017,205,456.50/524,901.70
  6. Step 6: Final answer
    x = 314,377.35

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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.