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Finding the Fourth Proportional to 405,381.20, 607,284.36 and 195,166.64

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Solution

The fourth proportional to 405,381.20, 607,284.36 and 195,166.64 is: 292,370.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,381.20 : 607,284.36 = 195,166.64 : x
  2. Step 2: Convert to fraction form
    405,381.20/607,284.36 = 195,166.64/x
  3. Step 3: Cross multiply
    405,381.20x = 607,284.36 × 195,166.64
  4. Step 4: Simplify right side
    405,381.20x = 118,521,648,065.75
  5. Step 5: Solve for x
    x = 118,521,648,065.75/405,381.20
  6. Step 6: Final answer
    x = 292,370.86

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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.