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Finding the Fourth Proportional to 290,631.16, 401,106.84 and 163,304

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Solution

The fourth proportional to 290,631.16, 401,106.84 and 163,304 is: 225,379.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,631.16 : 401,106.84 = 163,304 : x
  2. Step 2: Convert to fraction form
    290,631.16/401,106.84 = 163,304/x
  3. Step 3: Cross multiply
    290,631.16x = 401,106.84 × 163,304
  4. Step 4: Simplify right side
    290,631.16x = 65,502,351,399.36
  5. Step 5: Solve for x
    x = 65,502,351,399.36/290,631.16
  6. Step 6: Final answer
    x = 225,379.66

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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.