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Finding the Fourth Proportional to 302,253.43, 417,109.71 and 166,284.44

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Solution

The fourth proportional to 302,253.43, 417,109.71 and 166,284.44 is: 229,472.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,253.43 : 417,109.71 = 166,284.44 : x
  2. Step 2: Convert to fraction form
    302,253.43/417,109.71 = 166,284.44/x
  3. Step 3: Cross multiply
    302,253.43x = 417,109.71 × 166,284.44
  4. Step 4: Simplify right side
    302,253.43x = 69,358,854,545.91
  5. Step 5: Solve for x
    x = 69,358,854,545.91/302,253.43
  6. Step 6: Final answer
    x = 229,472.51

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1.5x scale

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.