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Finding the Fourth Proportional to 645,696, 890,819.82 and 403,886.70

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Solution

The fourth proportional to 645,696, 890,819.82 and 403,886.70 is: 557,213.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,696 : 890,819.82 = 403,886.70 : x
  2. Step 2: Convert to fraction form
    645,696/890,819.82 = 403,886.70/x
  3. Step 3: Cross multiply
    645,696x = 890,819.82 × 403,886.70
  4. Step 4: Simplify right side
    645,696x = 359,790,277,394.39
  5. Step 5: Solve for x
    x = 359,790,277,394.39/645,696
  6. Step 6: Final answer
    x = 557,213.11

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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.