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Finding the Fourth Proportional to 283,534.98, 391,334.94 and 162,757.92

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Solution

The fourth proportional to 283,534.98, 391,334.94 and 162,757.92 is: 224,638.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,534.98 : 391,334.94 = 162,757.92 : x
  2. Step 2: Convert to fraction form
    283,534.98/391,334.94 = 162,757.92/x
  3. Step 3: Cross multiply
    283,534.98x = 391,334.94 × 162,757.92
  4. Step 4: Simplify right side
    283,534.98x = 63,692,860,857.72
  5. Step 5: Solve for x
    x = 63,692,860,857.72/283,534.98
  6. Step 6: Final answer
    x = 224,638.46

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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.