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Finding the Fourth Proportional to 331,998, 458,158.70 and 181,098.24

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Solution

The fourth proportional to 331,998, 458,158.70 and 181,098.24 is: 249,916.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,998 : 458,158.70 = 181,098.24 : x
  2. Step 2: Convert to fraction form
    331,998/458,158.70 = 181,098.24/x
  3. Step 3: Cross multiply
    331,998x = 458,158.70 × 181,098.24
  4. Step 4: Simplify right side
    331,998x = 82,971,734,210.69
  5. Step 5: Solve for x
    x = 82,971,734,210.69/331,998
  6. Step 6: Final answer
    x = 249,916.37

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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.