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Finding the Fourth Proportional to 369,092.49, 509,347.62 and 199,326.60

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Solution

The fourth proportional to 369,092.49, 509,347.62 and 199,326.60 is: 275,070.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,092.49 : 509,347.62 = 199,326.60 : x
  2. Step 2: Convert to fraction form
    369,092.49/509,347.62 = 199,326.60/x
  3. Step 3: Cross multiply
    369,092.49x = 509,347.62 × 199,326.60
  4. Step 4: Simplify right side
    369,092.49x = 101,526,529,312.69
  5. Step 5: Solve for x
    x = 101,526,529,312.69/369,092.49
  6. Step 6: Final answer
    x = 275,070.70

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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.