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Finding the Fourth Proportional to 596,330.82, 822,958.02 and 341,731.21

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Solution

The fourth proportional to 596,330.82, 822,958.02 and 341,731.21 is: 471,601.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,330.82 : 822,958.02 = 341,731.21 : x
  2. Step 2: Convert to fraction form
    596,330.82/822,958.02 = 341,731.21/x
  3. Step 3: Cross multiply
    596,330.82x = 822,958.02 × 341,731.21
  4. Step 4: Simplify right side
    596,330.82x = 281,230,439,953.80
  5. Step 5: Solve for x
    x = 281,230,439,953.80/596,330.82
  6. Step 6: Final answer
    x = 471,601.38

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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.