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Finding the Fourth Proportional to 506,943.49, 760,142.49 and 203,185.22

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Solution

The fourth proportional to 506,943.49, 760,142.49 and 203,185.22 is: 304,668.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,943.49 : 760,142.49 = 203,185.22 : x
  2. Step 2: Convert to fraction form
    506,943.49/760,142.49 = 203,185.22/x
  3. Step 3: Cross multiply
    506,943.49x = 760,142.49 × 203,185.22
  4. Step 4: Simplify right side
    506,943.49x = 154,449,715,319.54
  5. Step 5: Solve for x
    x = 154,449,715,319.54/506,943.49
  6. Step 6: Final answer
    x = 304,668.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.