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Finding the Fourth Proportional to 411,860.30, 568,435.21 and 282,692.66

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Solution

The fourth proportional to 411,860.30, 568,435.21 and 282,692.66 is: 390,162.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,860.30 : 568,435.21 = 282,692.66 : x
  2. Step 2: Convert to fraction form
    411,860.30/568,435.21 = 282,692.66/x
  3. Step 3: Cross multiply
    411,860.30x = 568,435.21 × 282,692.66
  4. Step 4: Simplify right side
    411,860.30x = 160,692,461,552.56
  5. Step 5: Solve for x
    x = 160,692,461,552.56/411,860.30
  6. Step 6: Final answer
    x = 390,162.54

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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.