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Finding the Fourth Proportional to 409,214.91, 564,744.93 and 248,076.75

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Solution

The fourth proportional to 409,214.91, 564,744.93 and 248,076.75 is: 342,363.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,214.91 : 564,744.93 = 248,076.75 : x
  2. Step 2: Convert to fraction form
    409,214.91/564,744.93 = 248,076.75/x
  3. Step 3: Cross multiply
    409,214.91x = 564,744.93 × 248,076.75
  4. Step 4: Simplify right side
    409,214.91x = 140,100,086,813.38
  5. Step 5: Solve for x
    x = 140,100,086,813.38/409,214.91
  6. Step 6: Final answer
    x = 342,363.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.