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Finding the Fourth Proportional to 597,264.98, 824,338.42 and 342,782.42

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Solution

The fourth proportional to 597,264.98, 824,338.42 and 342,782.42 is: 473,104.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,264.98 : 824,338.42 = 342,782.42 : x
  2. Step 2: Convert to fraction form
    597,264.98/824,338.42 = 342,782.42/x
  3. Step 3: Cross multiply
    597,264.98x = 824,338.42 × 342,782.42
  4. Step 4: Simplify right side
    597,264.98x = 282,568,713,527.93
  5. Step 5: Solve for x
    x = 282,568,713,527.93/597,264.98
  6. Step 6: Final answer
    x = 473,104.44

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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.