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Finding the Fourth Proportional to 399,192.42, 598,797.05 and 143,041.67

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Solution

The fourth proportional to 399,192.42, 598,797.05 and 143,041.67 is: 214,565.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,192.42 : 598,797.05 = 143,041.67 : x
  2. Step 2: Convert to fraction form
    399,192.42/598,797.05 = 143,041.67/x
  3. Step 3: Cross multiply
    399,192.42x = 598,797.05 × 143,041.67
  4. Step 4: Simplify right side
    399,192.42x = 85,652,926,313.88
  5. Step 5: Solve for x
    x = 85,652,926,313.88/399,192.42
  6. Step 6: Final answer
    x = 214,565.51

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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.