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Finding the Fourth Proportional to 524,901.60, 787,546.80 and 209,584.80

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Solution

The fourth proportional to 524,901.60, 787,546.80 and 209,584.80 is: 314,454.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,901.60 : 787,546.80 = 209,584.80 : x
  2. Step 2: Convert to fraction form
    524,901.60/787,546.80 = 209,584.80/x
  3. Step 3: Cross multiply
    524,901.60x = 787,546.80 × 209,584.80
  4. Step 4: Simplify right side
    524,901.60x = 165,057,838,568.64
  5. Step 5: Solve for x
    x = 165,057,838,568.64/524,901.60
  6. Step 6: Final answer
    x = 314,454.82

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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.