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Finding the Fourth Proportional to 596,808, 823,595.04 and 342,243.36

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Solution

The fourth proportional to 596,808, 823,595.04 and 342,243.36 is: 472,295.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,808 : 823,595.04 = 342,243.36 : x
  2. Step 2: Convert to fraction form
    596,808/823,595.04 = 342,243.36/x
  3. Step 3: Cross multiply
    596,808x = 823,595.04 × 342,243.36
  4. Step 4: Simplify right side
    596,808x = 281,869,933,768.93
  5. Step 5: Solve for x
    x = 281,869,933,768.93/596,808
  6. Step 6: Final answer
    x = 472,295.84

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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.