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Finding the Fourth Proportional to 570,969.12, 856,578.96 and 234,012

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Solution

The fourth proportional to 570,969.12, 856,578.96 and 234,012 is: 351,069.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,969.12 : 856,578.96 = 234,012 : x
  2. Step 2: Convert to fraction form
    570,969.12/856,578.96 = 234,012/x
  3. Step 3: Cross multiply
    570,969.12x = 856,578.96 × 234,012
  4. Step 4: Simplify right side
    570,969.12x = 200,449,755,587.52
  5. Step 5: Solve for x
    x = 200,449,755,587.52/570,969.12
  6. Step 6: Final answer
    x = 351,069.35

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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.