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Finding the Fourth Proportional to 301,847.86, 416,529.91 and 165,878.88

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Solution

The fourth proportional to 301,847.86, 416,529.91 and 165,878.88 is: 228,901.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,847.86 : 416,529.91 = 165,878.88 : x
  2. Step 2: Convert to fraction form
    301,847.86/416,529.91 = 165,878.88/x
  3. Step 3: Cross multiply
    301,847.86x = 416,529.91 × 165,878.88
  4. Step 4: Simplify right side
    301,847.86x = 69,093,514,127.91
  5. Step 5: Solve for x
    x = 69,093,514,127.91/301,847.86
  6. Step 6: Final answer
    x = 228,901.79

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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.