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Finding the Fourth Proportional to 302,721.26, 417,755.44 and 175,470.66

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Solution

The fourth proportional to 302,721.26, 417,755.44 and 175,470.66 is: 242,149.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,721.26 : 417,755.44 = 175,470.66 : x
  2. Step 2: Convert to fraction form
    302,721.26/417,755.44 = 175,470.66/x
  3. Step 3: Cross multiply
    302,721.26x = 417,755.44 × 175,470.66
  4. Step 4: Simplify right side
    302,721.26x = 73,303,822,775.39
  5. Step 5: Solve for x
    x = 73,303,822,775.39/302,721.26
  6. Step 6: Final answer
    x = 242,149.57

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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.