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Finding the Fourth Proportional to 356,834.91, 492,386.79 and 203,883.03

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Solution

The fourth proportional to 356,834.91, 492,386.79 and 203,883.03 is: 281,332.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,834.91 : 492,386.79 = 203,883.03 : x
  2. Step 2: Convert to fraction form
    356,834.91/492,386.79 = 203,883.03/x
  3. Step 3: Cross multiply
    356,834.91x = 492,386.79 × 203,883.03
  4. Step 4: Simplify right side
    356,834.91x = 100,389,310,677.17
  5. Step 5: Solve for x
    x = 100,389,310,677.17/356,834.91
  6. Step 6: Final answer
    x = 281,332.65

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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.