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Finding the Fourth Proportional to 290,509.88, 400,924.08 and 163,185.57

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Solution

The fourth proportional to 290,509.88, 400,924.08 and 163,185.57 is: 225,207.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,509.88 : 400,924.08 = 163,185.57 : x
  2. Step 2: Convert to fraction form
    290,509.88/400,924.08 = 163,185.57/x
  3. Step 3: Cross multiply
    290,509.88x = 400,924.08 × 163,185.57
  4. Step 4: Simplify right side
    290,509.88x = 65,425,024,521.53
  5. Step 5: Solve for x
    x = 65,425,024,521.53/290,509.88
  6. Step 6: Final answer
    x = 225,207.58

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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.