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Finding the Fourth Proportional to 405,190.30, 607,890.53 and 215,494.69

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Solution

The fourth proportional to 405,190.30, 607,890.53 and 215,494.69 is: 323,297.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,190.30 : 607,890.53 = 215,494.69 : x
  2. Step 2: Convert to fraction form
    405,190.30/607,890.53 = 215,494.69/x
  3. Step 3: Cross multiply
    405,190.30x = 607,890.53 × 215,494.69
  4. Step 4: Simplify right side
    405,190.30x = 130,997,181,316.29
  5. Step 5: Solve for x
    x = 130,997,181,316.29/405,190.30
  6. Step 6: Final answer
    x = 323,297.92

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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.