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Finding the Fourth Proportional to 417,376.56, 575,980.65 and 226,389.95

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Solution

The fourth proportional to 417,376.56, 575,980.65 and 226,389.95 is: 312,418.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,376.56 : 575,980.65 = 226,389.95 : x
  2. Step 2: Convert to fraction form
    417,376.56/575,980.65 = 226,389.95/x
  3. Step 3: Cross multiply
    417,376.56x = 575,980.65 × 226,389.95
  4. Step 4: Simplify right side
    417,376.56x = 130,396,227,674.56
  5. Step 5: Solve for x
    x = 130,396,227,674.56/417,376.56
  6. Step 6: Final answer
    x = 312,418.66

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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.