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Finding the Fourth Proportional to 414,369.61, 621,554.42 and 274,095.43

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Solution

The fourth proportional to 414,369.61, 621,554.42 and 274,095.43 is: 411,143.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,369.61 : 621,554.42 = 274,095.43 : x
  2. Step 2: Convert to fraction form
    414,369.61/621,554.42 = 274,095.43/x
  3. Step 3: Cross multiply
    414,369.61x = 621,554.42 × 274,095.43
  4. Step 4: Simplify right side
    414,369.61x = 170,365,226,018.30
  5. Step 5: Solve for x
    x = 170,365,226,018.30/414,369.61
  6. Step 6: Final answer
    x = 411,143.15

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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.