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Finding the Fourth Proportional to 577,834.40, 866,735.40 and 262,290.80

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Solution

The fourth proportional to 577,834.40, 866,735.40 and 262,290.80 is: 393,428.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,834.40 : 866,735.40 = 262,290.80 : x
  2. Step 2: Convert to fraction form
    577,834.40/866,735.40 = 262,290.80/x
  3. Step 3: Cross multiply
    577,834.40x = 866,735.40 × 262,290.80
  4. Step 4: Simplify right side
    577,834.40x = 227,336,721,454.32
  5. Step 5: Solve for x
    x = 227,336,721,454.32/577,834.40
  6. Step 6: Final answer
    x = 393,428.85

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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.