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Finding the Fourth Proportional to 303,253.82, 418,224.41 and 242,802.41

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Solution

The fourth proportional to 303,253.82, 418,224.41 and 242,802.41 is: 334,854.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,253.82 : 418,224.41 = 242,802.41 : x
  2. Step 2: Convert to fraction form
    303,253.82/418,224.41 = 242,802.41/x
  3. Step 3: Cross multiply
    303,253.82x = 418,224.41 × 242,802.41
  4. Step 4: Simplify right side
    303,253.82x = 101,545,894,500.38
  5. Step 5: Solve for x
    x = 101,545,894,500.38/303,253.82
  6. Step 6: Final answer
    x = 334,854.46

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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.