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Finding the Fourth Proportional to 302,677.71, 417,695.22 and 175,427.12

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Solution

The fourth proportional to 302,677.71, 417,695.22 and 175,427.12 is: 242,089.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,677.71 : 417,695.22 = 175,427.12 : x
  2. Step 2: Convert to fraction form
    302,677.71/417,695.22 = 175,427.12/x
  3. Step 3: Cross multiply
    302,677.71x = 417,695.22 × 175,427.12
  4. Step 4: Simplify right side
    302,677.71x = 73,275,067,393.89
  5. Step 5: Solve for x
    x = 73,275,067,393.89/302,677.71
  6. Step 6: Final answer
    x = 242,089.41

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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.