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Finding the Fourth Proportional to 524,901.10, 787,546.05 and 209,584.30

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Solution

The fourth proportional to 524,901.10, 787,546.05 and 209,584.30 is: 314,454.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,901.10 : 787,546.05 = 209,584.30 : x
  2. Step 2: Convert to fraction form
    524,901.10/787,546.05 = 209,584.30/x
  3. Step 3: Cross multiply
    524,901.10x = 787,546.05 × 209,584.30
  4. Step 4: Simplify right side
    524,901.10x = 165,057,287,607.02
  5. Step 5: Solve for x
    x = 165,057,287,607.02/524,901.10
  6. Step 6: Final answer
    x = 314,454.07

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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.