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Finding the Fourth Proportional to 302,914.88, 418,022.88 and 175,664.42

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Solution

The fourth proportional to 302,914.88, 418,022.88 and 175,664.42 is: 242,417.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,914.88 : 418,022.88 = 175,664.42 : x
  2. Step 2: Convert to fraction form
    302,914.88/418,022.88 = 175,664.42/x
  3. Step 3: Cross multiply
    302,914.88x = 418,022.88 × 175,664.42
  4. Step 4: Simplify right side
    302,914.88x = 73,431,746,761.93
  5. Step 5: Solve for x
    x = 73,431,746,761.93/302,914.88
  6. Step 6: Final answer
    x = 242,417.10

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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.