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Finding the Fourth Proportional to 302,854.72, 417,963.12 and 166,913.04

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Solution

The fourth proportional to 302,854.72, 417,963.12 and 166,913.04 is: 230,353.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,854.72 : 417,963.12 = 166,913.04 : x
  2. Step 2: Convert to fraction form
    302,854.72/417,963.12 = 166,913.04/x
  3. Step 3: Cross multiply
    302,854.72x = 417,963.12 × 166,913.04
  4. Step 4: Simplify right side
    302,854.72x = 69,763,494,967.08
  5. Step 5: Solve for x
    x = 69,763,494,967.08/302,854.72
  6. Step 6: Final answer
    x = 230,353.01

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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.