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Finding the Fourth Proportional to 376,504.96, 519,585.92 and 204,430.24

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Solution

The fourth proportional to 376,504.96, 519,585.92 and 204,430.24 is: 282,118.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,504.96 : 519,585.92 = 204,430.24 : x
  2. Step 2: Convert to fraction form
    376,504.96/519,585.92 = 204,430.24/x
  3. Step 3: Cross multiply
    376,504.96x = 519,585.92 × 204,430.24
  4. Step 4: Simplify right side
    376,504.96x = 106,219,074,326.22
  5. Step 5: Solve for x
    x = 106,219,074,326.22/376,504.96
  6. Step 6: Final answer
    x = 282,118.66

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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.