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Finding the Fourth Proportional to 302,723.84, 417,758.99 and 175,473.24

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Solution

The fourth proportional to 302,723.84, 417,758.99 and 175,473.24 is: 242,153.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,723.84 : 417,758.99 = 175,473.24 : x
  2. Step 2: Convert to fraction form
    302,723.84/417,758.99 = 175,473.24/x
  3. Step 3: Cross multiply
    302,723.84x = 417,758.99 × 175,473.24
  4. Step 4: Simplify right side
    302,723.84x = 73,305,523,514.43
  5. Step 5: Solve for x
    x = 73,305,523,514.43/302,723.84
  6. Step 6: Final answer
    x = 242,153.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.