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Finding the Fourth Proportional to 320,698.98, 442,611.32 and 184,706.46

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Solution

The fourth proportional to 320,698.98, 442,611.32 and 184,706.46 is: 254,921.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,698.98 : 442,611.32 = 184,706.46 : x
  2. Step 2: Convert to fraction form
    320,698.98/442,611.32 = 184,706.46/x
  3. Step 3: Cross multiply
    320,698.98x = 442,611.32 × 184,706.46
  4. Step 4: Simplify right side
    320,698.98x = 81,753,169,149.59
  5. Step 5: Solve for x
    x = 81,753,169,149.59/320,698.98
  6. Step 6: Final answer
    x = 254,921.82

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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.