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Finding the Fourth Proportional to 302,358.34, 417,254 and 166,401.06

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Solution

The fourth proportional to 302,358.34, 417,254 and 166,401.06 is: 229,633.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,358.34 : 417,254 = 166,401.06 : x
  2. Step 2: Convert to fraction form
    302,358.34/417,254 = 166,401.06/x
  3. Step 3: Cross multiply
    302,358.34x = 417,254 × 166,401.06
  4. Step 4: Simplify right side
    302,358.34x = 69,431,507,889.24
  5. Step 5: Solve for x
    x = 69,431,507,889.24/302,358.34
  6. Step 6: Final answer
    x = 229,633.18

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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.