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Finding the Fourth Proportional to 668,082, 999,612 and 468,791.22

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Solution

The fourth proportional to 668,082, 999,612 and 468,791.22 is: 701,424.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,082 : 999,612 = 468,791.22 : x
  2. Step 2: Convert to fraction form
    668,082/999,612 = 468,791.22/x
  3. Step 3: Cross multiply
    668,082x = 999,612 × 468,791.22
  4. Step 4: Simplify right side
    668,082x = 468,609,329,006.64
  5. Step 5: Solve for x
    x = 468,609,329,006.64/668,082
  6. Step 6: Final answer
    x = 701,424.87

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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.