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Finding the Fourth Proportional to 597,472.82, 824,135.79 and 355,574.78

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Solution

The fourth proportional to 597,472.82, 824,135.79 and 355,574.78 is: 490,469.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,472.82 : 824,135.79 = 355,574.78 : x
  2. Step 2: Convert to fraction form
    597,472.82/824,135.79 = 355,574.78/x
  3. Step 3: Cross multiply
    597,472.82x = 824,135.79 × 355,574.78
  4. Step 4: Simplify right side
    597,472.82x = 293,041,902,219.38
  5. Step 5: Solve for x
    x = 293,041,902,219.38/597,472.82
  6. Step 6: Final answer
    x = 490,469.01

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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.