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Finding the Fourth Proportional to 476,266.75, 714,400.14 and 143,842.75

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Solution

The fourth proportional to 476,266.75, 714,400.14 and 143,842.75 is: 215,764.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,266.75 : 714,400.14 = 143,842.75 : x
  2. Step 2: Convert to fraction form
    476,266.75/714,400.14 = 143,842.75/x
  3. Step 3: Cross multiply
    476,266.75x = 714,400.14 × 143,842.75
  4. Step 4: Simplify right side
    476,266.75x = 102,761,280,737.99
  5. Step 5: Solve for x
    x = 102,761,280,737.99/476,266.75
  6. Step 6: Final answer
    x = 215,764.13

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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.