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Finding the Fourth Proportional to 284,009.14, 391,937.16 and 156,684.70

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Solution

The fourth proportional to 284,009.14, 391,937.16 and 156,684.70 is: 216,227.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,009.14 : 391,937.16 = 156,684.70 : x
  2. Step 2: Convert to fraction form
    284,009.14/391,937.16 = 156,684.70/x
  3. Step 3: Cross multiply
    284,009.14x = 391,937.16 × 156,684.70
  4. Step 4: Simplify right side
    284,009.14x = 61,410,556,333.45
  5. Step 5: Solve for x
    x = 61,410,556,333.45/284,009.14
  6. Step 6: Final answer
    x = 216,227.39

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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.