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Finding the Fourth Proportional to 597,610.62, 824,670.86 and 342,945

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Solution

The fourth proportional to 597,610.62, 824,670.86 and 342,945 is: 473,245.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,610.62 : 824,670.86 = 342,945 : x
  2. Step 2: Convert to fraction form
    597,610.62/824,670.86 = 342,945/x
  3. Step 3: Cross multiply
    597,610.62x = 824,670.86 × 342,945
  4. Step 4: Simplify right side
    597,610.62x = 282,816,746,367.98
  5. Step 5: Solve for x
    x = 282,816,746,367.98/597,610.62
  6. Step 6: Final answer
    x = 473,245.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.