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Finding the Fourth Proportional to 297,551.18, 410,746.32 and 200,885.96

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Solution

The fourth proportional to 297,551.18, 410,746.32 and 200,885.96 is: 277,307.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,551.18 : 410,746.32 = 200,885.96 : x
  2. Step 2: Convert to fraction form
    297,551.18/410,746.32 = 200,885.96/x
  3. Step 3: Cross multiply
    297,551.18x = 410,746.32 × 200,885.96
  4. Step 4: Simplify right side
    297,551.18x = 82,513,169,836.53
  5. Step 5: Solve for x
    x = 82,513,169,836.53/297,551.18
  6. Step 6: Final answer
    x = 277,307.48

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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.