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Finding the Fourth Proportional to 417,100.10, 575,601.09 and 226,116.50

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Solution

The fourth proportional to 417,100.10, 575,601.09 and 226,116.50 is: 312,042.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,100.10 : 575,601.09 = 226,116.50 : x
  2. Step 2: Convert to fraction form
    417,100.10/575,601.09 = 226,116.50/x
  3. Step 3: Cross multiply
    417,100.10x = 575,601.09 × 226,116.50
  4. Step 4: Simplify right side
    417,100.10x = 130,152,903,866.99
  5. Step 5: Solve for x
    x = 130,152,903,866.99/417,100.10
  6. Step 6: Final answer
    x = 312,042.37

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