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Finding the Fourth Proportional to 414,618.96, 572,252.40 and 259,642.20

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Solution

The fourth proportional to 414,618.96, 572,252.40 and 259,642.20 is: 358,355.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,618.96 : 572,252.40 = 259,642.20 : x
  2. Step 2: Convert to fraction form
    414,618.96/572,252.40 = 259,642.20/x
  3. Step 3: Cross multiply
    414,618.96x = 572,252.40 × 259,642.20
  4. Step 4: Simplify right side
    414,618.96x = 148,580,872,091.28
  5. Step 5: Solve for x
    x = 148,580,872,091.28/414,618.96
  6. Step 6: Final answer
    x = 358,355.23

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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.