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Finding the Fourth Proportional to 356,854.16, 492,378.98 and 203,843.44

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Solution

The fourth proportional to 356,854.16, 492,378.98 and 203,843.44 is: 281,258.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,854.16 : 492,378.98 = 203,843.44 : x
  2. Step 2: Convert to fraction form
    356,854.16/492,378.98 = 203,843.44/x
  3. Step 3: Cross multiply
    356,854.16x = 492,378.98 × 203,843.44
  4. Step 4: Simplify right side
    356,854.16x = 100,368,225,809.77
  5. Step 5: Solve for x
    x = 100,368,225,809.77/356,854.16
  6. Step 6: Final answer
    x = 281,258.39

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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.