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Finding the Fourth Proportional to 567,142.90, 782,712.36 and 423,653.83

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Solution

The fourth proportional to 567,142.90, 782,712.36 and 423,653.83 is: 584,683.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,142.90 : 782,712.36 = 423,653.83 : x
  2. Step 2: Convert to fraction form
    567,142.90/782,712.36 = 423,653.83/x
  3. Step 3: Cross multiply
    567,142.90x = 782,712.36 × 423,653.83
  4. Step 4: Simplify right side
    567,142.90x = 331,599,089,102.34
  5. Step 5: Solve for x
    x = 331,599,089,102.34/567,142.90
  6. Step 6: Final answer
    x = 584,683.49

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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.