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Finding the Fourth Proportional to 524,902.60, 787,548.30 and 209,585.80

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Solution

The fourth proportional to 524,902.60, 787,548.30 and 209,585.80 is: 314,456.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,902.60 : 787,548.30 = 209,585.80 : x
  2. Step 2: Convert to fraction form
    524,902.60/787,548.30 = 209,585.80/x
  3. Step 3: Cross multiply
    524,902.60x = 787,548.30 × 209,585.80
  4. Step 4: Simplify right side
    524,902.60x = 165,058,940,494.14
  5. Step 5: Solve for x
    x = 165,058,940,494.14/524,902.60
  6. Step 6: Final answer
    x = 314,456.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.