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Finding the Fourth Proportional to 474,198.57, 710,570.70 and 322,202.07

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Solution

The fourth proportional to 474,198.57, 710,570.70 and 322,202.07 is: 482,809.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,198.57 : 710,570.70 = 322,202.07 : x
  2. Step 2: Convert to fraction form
    474,198.57/710,570.70 = 322,202.07/x
  3. Step 3: Cross multiply
    474,198.57x = 710,570.70 × 322,202.07
  4. Step 4: Simplify right side
    474,198.57x = 228,947,350,421.35
  5. Step 5: Solve for x
    x = 228,947,350,421.35/474,198.57
  6. Step 6: Final answer
    x = 482,809.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.