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Finding the Fourth Proportional to 685,490.24, 945,683.42 and 413,403.42

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Solution

The fourth proportional to 685,490.24, 945,683.42 and 413,403.42 is: 570,319.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,490.24 : 945,683.42 = 413,403.42 : x
  2. Step 2: Convert to fraction form
    685,490.24/945,683.42 = 413,403.42/x
  3. Step 3: Cross multiply
    685,490.24x = 945,683.42 × 413,403.42
  4. Step 4: Simplify right side
    685,490.24x = 390,948,760,065.30
  5. Step 5: Solve for x
    x = 390,948,760,065.30/685,490.24
  6. Step 6: Final answer
    x = 570,319.95

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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.