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Finding the Fourth Proportional to 302,729.88, 417,767.28 and 175,479.30

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Solution

The fourth proportional to 302,729.88, 417,767.28 and 175,479.30 is: 242,161.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,729.88 : 417,767.28 = 175,479.30 : x
  2. Step 2: Convert to fraction form
    302,729.88/417,767.28 = 175,479.30/x
  3. Step 3: Cross multiply
    302,729.88x = 417,767.28 × 175,479.30
  4. Step 4: Simplify right side
    302,729.88x = 73,309,509,857.30
  5. Step 5: Solve for x
    x = 73,309,509,857.30/302,729.88
  6. Step 6: Final answer
    x = 242,161.46

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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.