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Finding the Fourth Proportional to 471,950.16, 651,338.28 and 288,178.62

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Solution

The fourth proportional to 471,950.16, 651,338.28 and 288,178.62 is: 397,715.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,950.16 : 651,338.28 = 288,178.62 : x
  2. Step 2: Convert to fraction form
    471,950.16/651,338.28 = 288,178.62/x
  3. Step 3: Cross multiply
    471,950.16x = 651,338.28 × 288,178.62
  4. Step 4: Simplify right side
    471,950.16x = 187,701,766,683.57
  5. Step 5: Solve for x
    x = 187,701,766,683.57/471,950.16
  6. Step 6: Final answer
    x = 397,715.23

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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.