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Finding the Fourth Proportional to 283,859.84, 391,719.30 and 156,527.12

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Solution

The fourth proportional to 283,859.84, 391,719.30 and 156,527.12 is: 216,003.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,859.84 : 391,719.30 = 156,527.12 : x
  2. Step 2: Convert to fraction form
    283,859.84/391,719.30 = 156,527.12/x
  3. Step 3: Cross multiply
    283,859.84x = 391,719.30 × 156,527.12
  4. Step 4: Simplify right side
    283,859.84x = 61,314,693,877.42
  5. Step 5: Solve for x
    x = 61,314,693,877.42/283,859.84
  6. Step 6: Final answer
    x = 216,003.41

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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.