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Finding the Fourth Proportional to 283,994.82, 391,914.18 and 156,670.38

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Solution

The fourth proportional to 283,994.82, 391,914.18 and 156,670.38 is: 216,205.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,994.82 : 391,914.18 = 156,670.38 : x
  2. Step 2: Convert to fraction form
    283,994.82/391,914.18 = 156,670.38/x
  3. Step 3: Cross multiply
    283,994.82x = 391,914.18 × 156,670.38
  4. Step 4: Simplify right side
    283,994.82x = 61,401,343,507.99
  5. Step 5: Solve for x
    x = 61,401,343,507.99/283,994.82
  6. Step 6: Final answer
    x = 216,205.86

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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.