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Finding the Fourth Proportional to 616,105.12, 923,924.40 and 241,924

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Solution

The fourth proportional to 616,105.12, 923,924.40 and 241,924 is: 362,794.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,105.12 : 923,924.40 = 241,924 : x
  2. Step 2: Convert to fraction form
    616,105.12/923,924.40 = 241,924/x
  3. Step 3: Cross multiply
    616,105.12x = 923,924.40 × 241,924
  4. Step 4: Simplify right side
    616,105.12x = 223,519,486,545.60
  5. Step 5: Solve for x
    x = 223,519,486,545.60/616,105.12
  6. Step 6: Final answer
    x = 362,794.40

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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.