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Finding the Fourth Proportional to 384,452.70, 577,152.90 and 242,297.70

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Solution

The fourth proportional to 384,452.70, 577,152.90 and 242,297.70 is: 363,745.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,452.70 : 577,152.90 = 242,297.70 : x
  2. Step 2: Convert to fraction form
    384,452.70/577,152.90 = 242,297.70/x
  3. Step 3: Cross multiply
    384,452.70x = 577,152.90 × 242,297.70
  4. Step 4: Simplify right side
    384,452.70x = 139,842,820,218.33
  5. Step 5: Solve for x
    x = 139,842,820,218.33/384,452.70
  6. Step 6: Final answer
    x = 363,745.19

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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.