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Finding the Fourth Proportional to 302,859, 417,954.06 and 168,731.64

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Solution

The fourth proportional to 302,859, 417,954.06 and 168,731.64 is: 232,854.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,859 : 417,954.06 = 168,731.64 : x
  2. Step 2: Convert to fraction form
    302,859/417,954.06 = 168,731.64/x
  3. Step 3: Cross multiply
    302,859x = 417,954.06 × 168,731.64
  4. Step 4: Simplify right side
    302,859x = 70,522,073,988.46
  5. Step 5: Solve for x
    x = 70,522,073,988.46/302,859
  6. Step 6: Final answer
    x = 232,854.48

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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.