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Finding the Fourth Proportional to 524,763.20, 787,533.60 and 209,446.40

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Solution

The fourth proportional to 524,763.20, 787,533.60 and 209,446.40 is: 314,324.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,763.20 : 787,533.60 = 209,446.40 : x
  2. Step 2: Convert to fraction form
    524,763.20/787,533.60 = 209,446.40/x
  3. Step 3: Cross multiply
    524,763.20x = 787,533.60 × 209,446.40
  4. Step 4: Simplify right side
    524,763.20x = 164,946,077,399.04
  5. Step 5: Solve for x
    x = 164,946,077,399.04/524,763.20
  6. Step 6: Final answer
    x = 314,324.78

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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.