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Finding the Fourth Proportional to 563,103.60, 776,896.92 and 345,231.60

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Solution

The fourth proportional to 563,103.60, 776,896.92 and 345,231.60 is: 476,305.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,103.60 : 776,896.92 = 345,231.60 : x
  2. Step 2: Convert to fraction form
    563,103.60/776,896.92 = 345,231.60/x
  3. Step 3: Cross multiply
    563,103.60x = 776,896.92 × 345,231.60
  4. Step 4: Simplify right side
    563,103.60x = 268,209,366,726.67
  5. Step 5: Solve for x
    x = 268,209,366,726.67/563,103.60
  6. Step 6: Final answer
    x = 476,305.54

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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.