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Finding the Fourth Proportional to 414,368.61, 621,552.92 and 274,094.43

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Solution

The fourth proportional to 414,368.61, 621,552.92 and 274,094.43 is: 411,141.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,368.61 : 621,552.92 = 274,094.43 : x
  2. Step 2: Convert to fraction form
    414,368.61/621,552.92 = 274,094.43/x
  3. Step 3: Cross multiply
    414,368.61x = 621,552.92 × 274,094.43
  4. Step 4: Simplify right side
    414,368.61x = 170,364,191,951.76
  5. Step 5: Solve for x
    x = 170,364,191,951.76/414,368.61
  6. Step 6: Final answer
    x = 411,141.65

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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.