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Finding the Fourth Proportional to 563,105.64, 842,694.93 and 460,720.41

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Solution

The fourth proportional to 563,105.64, 842,694.93 and 460,720.41 is: 689,474.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,105.64 : 842,694.93 = 460,720.41 : x
  2. Step 2: Convert to fraction form
    563,105.64/842,694.93 = 460,720.41/x
  3. Step 3: Cross multiply
    563,105.64x = 842,694.93 × 460,720.41
  4. Step 4: Simplify right side
    563,105.64x = 388,246,753,654.52
  5. Step 5: Solve for x
    x = 388,246,753,654.52/563,105.64
  6. Step 6: Final answer
    x = 689,474.10

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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.