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Finding the Fourth Proportional to 384,254.04, 575,199.99 and 327,567

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Solution

The fourth proportional to 384,254.04, 575,199.99 and 327,567 is: 490,343.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,254.04 : 575,199.99 = 327,567 : x
  2. Step 2: Convert to fraction form
    384,254.04/575,199.99 = 327,567/x
  3. Step 3: Cross multiply
    384,254.04x = 575,199.99 × 327,567
  4. Step 4: Simplify right side
    384,254.04x = 188,416,535,124.33
  5. Step 5: Solve for x
    x = 188,416,535,124.33/384,254.04
  6. Step 6: Final answer
    x = 490,343.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.