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Finding the Fourth Proportional to 497,201.43, 745,302.75 and 159,994.24

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Solution

The fourth proportional to 497,201.43, 745,302.75 and 159,994.24 is: 239,830.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,201.43 : 745,302.75 = 159,994.24 : x
  2. Step 2: Convert to fraction form
    497,201.43/745,302.75 = 159,994.24/x
  3. Step 3: Cross multiply
    497,201.43x = 745,302.75 × 159,994.24
  4. Step 4: Simplify right side
    497,201.43x = 119,244,147,056.16
  5. Step 5: Solve for x
    x = 119,244,147,056.16/497,201.43
  6. Step 6: Final answer
    x = 239,830.66

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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.