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Finding the Fourth Proportional to 501,844.26, 692,455.70 and 284,051.87

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Solution

The fourth proportional to 501,844.26, 692,455.70 and 284,051.87 is: 391,940.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,844.26 : 692,455.70 = 284,051.87 : x
  2. Step 2: Convert to fraction form
    501,844.26/692,455.70 = 284,051.87/x
  3. Step 3: Cross multiply
    501,844.26x = 692,455.70 × 284,051.87
  4. Step 4: Simplify right side
    501,844.26x = 196,693,331,594.62
  5. Step 5: Solve for x
    x = 196,693,331,594.62/501,844.26
  6. Step 6: Final answer
    x = 391,940.98

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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.