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Finding the Fourth Proportional to 405,189.68, 607,855.82 and 155,852.24

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Solution

The fourth proportional to 405,189.68, 607,855.82 and 155,852.24 is: 233,805.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,189.68 : 607,855.82 = 155,852.24 : x
  2. Step 2: Convert to fraction form
    405,189.68/607,855.82 = 155,852.24/x
  3. Step 3: Cross multiply
    405,189.68x = 607,855.82 × 155,852.24
  4. Step 4: Simplify right side
    405,189.68x = 94,735,691,144.04
  5. Step 5: Solve for x
    x = 94,735,691,144.04/405,189.68
  6. Step 6: Final answer
    x = 233,805.78

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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.