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Finding the Fourth Proportional to 497,090.70, 745,745.40 and 160,146.90

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Solution

The fourth proportional to 497,090.70, 745,745.40 and 160,146.90 is: 240,255.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,090.70 : 745,745.40 = 160,146.90 : x
  2. Step 2: Convert to fraction form
    497,090.70/745,745.40 = 160,146.90/x
  3. Step 3: Cross multiply
    497,090.70x = 745,745.40 × 160,146.90
  4. Step 4: Simplify right side
    497,090.70x = 119,428,813,999.26
  5. Step 5: Solve for x
    x = 119,428,813,999.26/497,090.70
  6. Step 6: Final answer
    x = 240,255.58

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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.