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Finding the Fourth Proportional to 302,767.20, 417,818.73 and 168,631.20

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Solution

The fourth proportional to 302,767.20, 417,818.73 and 168,631.20 is: 232,711.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,767.20 : 417,818.73 = 168,631.20 : x
  2. Step 2: Convert to fraction form
    302,767.20/417,818.73 = 168,631.20/x
  3. Step 3: Cross multiply
    302,767.20x = 417,818.73 × 168,631.20
  4. Step 4: Simplify right side
    302,767.20x = 70,457,273,822.38
  5. Step 5: Solve for x
    x = 70,457,273,822.38/302,767.20
  6. Step 6: Final answer
    x = 232,711.05

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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.