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Finding the Fourth Proportional to 302,722.34, 417,756.92 and 175,471.74

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Solution

The fourth proportional to 302,722.34, 417,756.92 and 175,471.74 is: 242,151.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,722.34 : 417,756.92 = 175,471.74 : x
  2. Step 2: Convert to fraction form
    302,722.34/417,756.92 = 175,471.74/x
  3. Step 3: Cross multiply
    302,722.34x = 417,756.92 × 175,471.74
  4. Step 4: Simplify right side
    302,722.34x = 73,304,532,772.08
  5. Step 5: Solve for x
    x = 73,304,532,772.08/302,722.34
  6. Step 6: Final answer
    x = 242,151.05

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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.