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Finding the Fourth Proportional to 273,647.60, 409,693.80 and 242,543.60

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Solution

The fourth proportional to 273,647.60, 409,693.80 and 242,543.60 is: 363,126.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,647.60 : 409,693.80 = 242,543.60 : x
  2. Step 2: Convert to fraction form
    273,647.60/409,693.80 = 242,543.60/x
  3. Step 3: Cross multiply
    273,647.60x = 409,693.80 × 242,543.60
  4. Step 4: Simplify right side
    273,647.60x = 99,368,609,149.68
  5. Step 5: Solve for x
    x = 99,368,609,149.68/273,647.60
  6. Step 6: Final answer
    x = 363,126.19

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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.