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Finding the Fourth Proportional to 497,735.40, 746,603.10 and 165,311.40

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Solution

The fourth proportional to 497,735.40, 746,603.10 and 165,311.40 is: 247,967.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,735.40 : 746,603.10 = 165,311.40 : x
  2. Step 2: Convert to fraction form
    497,735.40/746,603.10 = 165,311.40/x
  3. Step 3: Cross multiply
    497,735.40x = 746,603.10 × 165,311.40
  4. Step 4: Simplify right side
    497,735.40x = 123,422,003,705.34
  5. Step 5: Solve for x
    x = 123,422,003,705.34/497,735.40
  6. Step 6: Final answer
    x = 247,967.10

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Similar ratio
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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.