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Finding the Fourth Proportional to 416,463.66, 624,952.53 and 163,699.92

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Solution

The fourth proportional to 416,463.66, 624,952.53 and 163,699.92 is: 245,650.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,463.66 : 624,952.53 = 163,699.92 : x
  2. Step 2: Convert to fraction form
    416,463.66/624,952.53 = 163,699.92/x
  3. Step 3: Cross multiply
    416,463.66x = 624,952.53 × 163,699.92
  4. Step 4: Simplify right side
    416,463.66x = 102,304,679,164.80
  5. Step 5: Solve for x
    x = 102,304,679,164.80/416,463.66
  6. Step 6: Final answer
    x = 245,650.92

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Why These Related Problems?

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