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Finding the Fourth Proportional to 301,012.77, 415,416.30 and 166,876.77

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Solution

The fourth proportional to 301,012.77, 415,416.30 and 166,876.77 is: 230,300.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,012.77 : 415,416.30 = 166,876.77 : x
  2. Step 2: Convert to fraction form
    301,012.77/415,416.30 = 166,876.77/x
  3. Step 3: Cross multiply
    301,012.77x = 415,416.30 × 166,876.77
  4. Step 4: Simplify right side
    301,012.77x = 69,323,330,349.35
  5. Step 5: Solve for x
    x = 69,323,330,349.35/301,012.77
  6. Step 6: Final answer
    x = 230,300.30

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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.