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Finding the Fourth Proportional to 299,051.85, 412,701.89 and 169,995.71

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Solution

The fourth proportional to 299,051.85, 412,701.89 and 169,995.71 is: 234,599.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,051.85 : 412,701.89 = 169,995.71 : x
  2. Step 2: Convert to fraction form
    299,051.85/412,701.89 = 169,995.71/x
  3. Step 3: Cross multiply
    299,051.85x = 412,701.89 × 169,995.71
  4. Step 4: Simplify right side
    299,051.85x = 70,157,550,990.67
  5. Step 5: Solve for x
    x = 70,157,550,990.67/299,051.85
  6. Step 6: Final answer
    x = 234,599.96

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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.