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Finding the Fourth Proportional to 563,049.24, 776,713.50 and 348,120.60

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Solution

The fourth proportional to 563,049.24, 776,713.50 and 348,120.60 is: 480,224.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,049.24 : 776,713.50 = 348,120.60 : x
  2. Step 2: Convert to fraction form
    563,049.24/776,713.50 = 348,120.60/x
  3. Step 3: Cross multiply
    563,049.24x = 776,713.50 × 348,120.60
  4. Step 4: Simplify right side
    563,049.24x = 270,389,969,648.10
  5. Step 5: Solve for x
    x = 270,389,969,648.10/563,049.24
  6. Step 6: Final answer
    x = 480,224.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.