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Finding the Fourth Proportional to 284,048.78, 391,822.01 and 182,037.98

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Solution

The fourth proportional to 284,048.78, 391,822.01 and 182,037.98 is: 251,106.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,048.78 : 391,822.01 = 182,037.98 : x
  2. Step 2: Convert to fraction form
    284,048.78/391,822.01 = 182,037.98/x
  3. Step 3: Cross multiply
    284,048.78x = 391,822.01 × 182,037.98
  4. Step 4: Simplify right side
    284,048.78x = 71,326,487,971.95
  5. Step 5: Solve for x
    x = 71,326,487,971.95/284,048.78
  6. Step 6: Final answer
    x = 251,106.48

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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.