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Finding the Fourth Proportional to 302,700.94, 417,776.07 and 175,449.94

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Solution

The fourth proportional to 302,700.94, 417,776.07 and 175,449.94 is: 242,149.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,700.94 : 417,776.07 = 175,449.94 : x
  2. Step 2: Convert to fraction form
    302,700.94/417,776.07 = 175,449.94/x
  3. Step 3: Cross multiply
    302,700.94x = 417,776.07 × 175,449.94
  4. Step 4: Simplify right side
    302,700.94x = 73,298,786,414.94
  5. Step 5: Solve for x
    x = 73,298,786,414.94/302,700.94
  6. Step 6: Final answer
    x = 242,149.19

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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.