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Finding the Fourth Proportional to 283,821, 391,655.04 and 156,497.64

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Solution

The fourth proportional to 283,821, 391,655.04 and 156,497.64 is: 215,956.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,821 : 391,655.04 = 156,497.64 : x
  2. Step 2: Convert to fraction form
    283,821/391,655.04 = 156,497.64/x
  3. Step 3: Cross multiply
    283,821x = 391,655.04 × 156,497.64
  4. Step 4: Simplify right side
    283,821x = 61,293,089,454.11
  5. Step 5: Solve for x
    x = 61,293,089,454.11/283,821
  6. Step 6: Final answer
    x = 215,956.85

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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.