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Finding the Fourth Proportional to 302,945.84, 418,066.92 and 175,696.88

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Solution

The fourth proportional to 302,945.84, 418,066.92 and 175,696.88 is: 242,462.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,945.84 : 418,066.92 = 175,696.88 : x
  2. Step 2: Convert to fraction form
    302,945.84/418,066.92 = 175,696.88/x
  3. Step 3: Cross multiply
    302,945.84x = 418,066.92 × 175,696.88
  4. Step 4: Simplify right side
    302,945.84x = 73,453,053,475.21
  5. Step 5: Solve for x
    x = 73,453,053,475.21/302,945.84
  6. Step 6: Final answer
    x = 242,462.66

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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.