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Finding the Fourth Proportional to 302,887.80, 417,979.44 and 175,575.24

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Solution

The fourth proportional to 302,887.80, 417,979.44 and 175,575.24 is: 242,290.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,887.80 : 417,979.44 = 175,575.24 : x
  2. Step 2: Convert to fraction form
    302,887.80/417,979.44 = 175,575.24/x
  3. Step 3: Cross multiply
    302,887.80x = 417,979.44 × 175,575.24
  4. Step 4: Simplify right side
    302,887.80x = 73,386,840,493.07
  5. Step 5: Solve for x
    x = 73,386,840,493.07/302,887.80
  6. Step 6: Final answer
    x = 242,290.51

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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.