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Finding the Fourth Proportional to 409,649.68, 613,663.50 and 193,212.01

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Solution

The fourth proportional to 409,649.68, 613,663.50 and 193,212.01 is: 289,435.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,649.68 : 613,663.50 = 193,212.01 : x
  2. Step 2: Convert to fraction form
    409,649.68/613,663.50 = 193,212.01/x
  3. Step 3: Cross multiply
    409,649.68x = 613,663.50 × 193,212.01
  4. Step 4: Simplify right side
    409,649.68x = 118,567,158,298.64
  5. Step 5: Solve for x
    x = 118,567,158,298.64/409,649.68
  6. Step 6: Final answer
    x = 289,435.50

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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.