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Finding the Fourth Proportional to 320,941, 481,422.66 and 152,374.60

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Solution

The fourth proportional to 320,941, 481,422.66 and 152,374.60 is: 228,567.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,941 : 481,422.66 = 152,374.60 : x
  2. Step 2: Convert to fraction form
    320,941/481,422.66 = 152,374.60/x
  3. Step 3: Cross multiply
    320,941x = 481,422.66 × 152,374.60
  4. Step 4: Simplify right side
    320,941x = 73,356,585,248.44
  5. Step 5: Solve for x
    x = 73,356,585,248.44/320,941
  6. Step 6: Final answer
    x = 228,567.20

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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.