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Finding the Fourth Proportional to 302,258.89, 417,117.28 and 166,289.93

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Solution

The fourth proportional to 302,258.89, 417,117.28 and 166,289.93 is: 229,480.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,258.89 : 417,117.28 = 166,289.93 : x
  2. Step 2: Convert to fraction form
    302,258.89/417,117.28 = 166,289.93/x
  3. Step 3: Cross multiply
    302,258.89x = 417,117.28 × 166,289.93
  4. Step 4: Simplify right side
    302,258.89x = 69,362,401,207.40
  5. Step 5: Solve for x
    x = 69,362,401,207.40/302,258.89
  6. Step 6: Final answer
    x = 229,480.11

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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.