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Finding the Fourth Proportional to 302,813.61, 417,887.74 and 166,845.59

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Solution

The fourth proportional to 302,813.61, 417,887.74 and 166,845.59 is: 230,249.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,813.61 : 417,887.74 = 166,845.59 : x
  2. Step 2: Convert to fraction form
    302,813.61/417,887.74 = 166,845.59/x
  3. Step 3: Cross multiply
    302,813.61x = 417,887.74 × 166,845.59
  4. Step 4: Simplify right side
    302,813.61x = 69,722,726,220.26
  5. Step 5: Solve for x
    x = 69,722,726,220.26/302,813.61
  6. Step 6: Final answer
    x = 230,249.65

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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.