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Finding the Fourth Proportional to 405,057.40, 607,586.10 and 194,644.60

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Solution

The fourth proportional to 405,057.40, 607,586.10 and 194,644.60 is: 291,966.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,057.40 : 607,586.10 = 194,644.60 : x
  2. Step 2: Convert to fraction form
    405,057.40/607,586.10 = 194,644.60/x
  3. Step 3: Cross multiply
    405,057.40x = 607,586.10 × 194,644.60
  4. Step 4: Simplify right side
    405,057.40x = 118,263,353,400.06
  5. Step 5: Solve for x
    x = 118,263,353,400.06/405,057.40
  6. Step 6: Final answer
    x = 291,966.90

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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.