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Finding the Fourth Proportional to 416,382.48, 574,939.08 and 384,539.76

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Solution

The fourth proportional to 416,382.48, 574,939.08 and 384,539.76 is: 530,970.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,382.48 : 574,939.08 = 384,539.76 : x
  2. Step 2: Convert to fraction form
    416,382.48/574,939.08 = 384,539.76/x
  3. Step 3: Cross multiply
    416,382.48x = 574,939.08 × 384,539.76
  4. Step 4: Simplify right side
    416,382.48x = 221,086,935,837.82
  5. Step 5: Solve for x
    x = 221,086,935,837.82/416,382.48
  6. Step 6: Final answer
    x = 530,970.79

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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.