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Finding the Fourth Proportional to 493,151.46, 739,699.44 and 133,317

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Solution

The fourth proportional to 493,151.46, 739,699.44 and 133,317 is: 199,968.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,151.46 : 739,699.44 = 133,317 : x
  2. Step 2: Convert to fraction form
    493,151.46/739,699.44 = 133,317/x
  3. Step 3: Cross multiply
    493,151.46x = 739,699.44 × 133,317
  4. Step 4: Simplify right side
    493,151.46x = 98,614,510,242.48
  5. Step 5: Solve for x
    x = 98,614,510,242.48/493,151.46
  6. Step 6: Final answer
    x = 199,968.00

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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.