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Finding the Fourth Proportional to 613,712.34, 920,601.32 and 193,021.02

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Solution

The fourth proportional to 613,712.34, 920,601.32 and 193,021.02 is: 289,541.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,712.34 : 920,601.32 = 193,021.02 : x
  2. Step 2: Convert to fraction form
    613,712.34/920,601.32 = 193,021.02/x
  3. Step 3: Cross multiply
    613,712.34x = 920,601.32 × 193,021.02
  4. Step 4: Simplify right side
    613,712.34x = 177,695,404,834.64
  5. Step 5: Solve for x
    x = 177,695,404,834.64/613,712.34
  6. Step 6: Final answer
    x = 289,541.85

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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.