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Finding the Fourth Proportional to 361,810.12, 499,328.63 and 200,717.06

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Solution

The fourth proportional to 361,810.12, 499,328.63 and 200,717.06 is: 277,006.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,810.12 : 499,328.63 = 200,717.06 : x
  2. Step 2: Convert to fraction form
    361,810.12/499,328.63 = 200,717.06/x
  3. Step 3: Cross multiply
    361,810.12x = 499,328.63 × 200,717.06
  4. Step 4: Simplify right side
    361,810.12x = 100,223,774,832.16
  5. Step 5: Solve for x
    x = 100,223,774,832.16/361,810.12
  6. Step 6: Final answer
    x = 277,006.56

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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.