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Finding the Fourth Proportional to 685,000.20, 945,680.32 and 413,136.66

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Solution

The fourth proportional to 685,000.20, 945,680.32 and 413,136.66 is: 570,357.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,000.20 : 945,680.32 = 413,136.66 : x
  2. Step 2: Convert to fraction form
    685,000.20/945,680.32 = 413,136.66/x
  3. Step 3: Cross multiply
    685,000.20x = 945,680.32 × 413,136.66
  4. Step 4: Simplify right side
    685,000.20x = 390,695,208,832.53
  5. Step 5: Solve for x
    x = 390,695,208,832.53/685,000.20
  6. Step 6: Final answer
    x = 570,357.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.