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Finding the Fourth Proportional to 599,421.90, 827,214.13 and 327,506.67

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Solution

The fourth proportional to 599,421.90, 827,214.13 and 327,506.67 is: 451,965.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,421.90 : 827,214.13 = 327,506.67 : x
  2. Step 2: Convert to fraction form
    599,421.90/827,214.13 = 327,506.67/x
  3. Step 3: Cross multiply
    599,421.90x = 827,214.13 × 327,506.67
  4. Step 4: Simplify right side
    599,421.90x = 270,918,141,564.15
  5. Step 5: Solve for x
    x = 270,918,141,564.15/599,421.90
  6. Step 6: Final answer
    x = 451,965.70

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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.