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Finding the Fourth Proportional to 292,415.20, 438,622.80 and 213,683.20

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Solution

The fourth proportional to 292,415.20, 438,622.80 and 213,683.20 is: 320,524.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,415.20 : 438,622.80 = 213,683.20 : x
  2. Step 2: Convert to fraction form
    292,415.20/438,622.80 = 213,683.20/x
  3. Step 3: Cross multiply
    292,415.20x = 438,622.80 × 213,683.20
  4. Step 4: Simplify right side
    292,415.20x = 93,726,323,496.96
  5. Step 5: Solve for x
    x = 93,726,323,496.96/292,415.20
  6. Step 6: Final answer
    x = 320,524.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.