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Finding the Fourth Proportional to 302,722.06, 417,756.55 and 175,471.47

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Solution

The fourth proportional to 302,722.06, 417,756.55 and 175,471.47 is: 242,150.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,722.06 : 417,756.55 = 175,471.47 : x
  2. Step 2: Convert to fraction form
    302,722.06/417,756.55 = 175,471.47/x
  3. Step 3: Cross multiply
    302,722.06x = 417,756.55 × 175,471.47
  4. Step 4: Simplify right side
    302,722.06x = 73,304,355,930.63
  5. Step 5: Solve for x
    x = 73,304,355,930.63/302,722.06
  6. Step 6: Final answer
    x = 242,150.69

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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.