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Finding the Fourth Proportional to 258,324.45, 387,416.40 and 163,412.16

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Solution

The fourth proportional to 258,324.45, 387,416.40 and 163,412.16 is: 245,073.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,324.45 : 387,416.40 = 163,412.16 : x
  2. Step 2: Convert to fraction form
    258,324.45/387,416.40 = 163,412.16/x
  3. Step 3: Cross multiply
    258,324.45x = 387,416.40 × 163,412.16
  4. Step 4: Simplify right side
    258,324.45x = 63,308,550,743.42
  5. Step 5: Solve for x
    x = 63,308,550,743.42/258,324.45
  6. Step 6: Final answer
    x = 245,073.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.