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Finding the Fourth Proportional to 283,794.84, 391,635.81 and 156,477.42

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Solution

The fourth proportional to 283,794.84, 391,635.81 and 156,477.42 is: 215,938.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,794.84 : 391,635.81 = 156,477.42 : x
  2. Step 2: Convert to fraction form
    283,794.84/391,635.81 = 156,477.42/x
  3. Step 3: Cross multiply
    283,794.84x = 391,635.81 × 156,477.42
  4. Step 4: Simplify right side
    283,794.84x = 61,282,161,128.41
  5. Step 5: Solve for x
    x = 61,282,161,128.41/283,794.84
  6. Step 6: Final answer
    x = 215,938.25

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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.