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Finding the Fourth Proportional to 497,989, 746,989.98 and 165,565

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Solution

The fourth proportional to 497,989, 746,989.98 and 165,565 is: 248,349.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,989 : 746,989.98 = 165,565 : x
  2. Step 2: Convert to fraction form
    497,989/746,989.98 = 165,565/x
  3. Step 3: Cross multiply
    497,989x = 746,989.98 × 165,565
  4. Step 4: Simplify right side
    497,989x = 123,675,396,038.70
  5. Step 5: Solve for x
    x = 123,675,396,038.70/497,989
  6. Step 6: Final answer
    x = 248,349.65

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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.