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Finding the Fourth Proportional to 467,666.26, 702,622.96 and 299,513.30

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Solution

The fourth proportional to 467,666.26, 702,622.96 and 299,513.30 is: 449,989.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,666.26 : 702,622.96 = 299,513.30 : x
  2. Step 2: Convert to fraction form
    467,666.26/702,622.96 = 299,513.30/x
  3. Step 3: Cross multiply
    467,666.26x = 702,622.96 × 299,513.30
  4. Step 4: Simplify right side
    467,666.26x = 210,444,917,143.47
  5. Step 5: Solve for x
    x = 210,444,917,143.47/467,666.26
  6. Step 6: Final answer
    x = 449,989.53

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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.