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Finding the Fourth Proportional to 477,591.90, 658,624.47 and 305,564.30

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Solution

The fourth proportional to 477,591.90, 658,624.47 and 305,564.30 is: 421,389.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,591.90 : 658,624.47 = 305,564.30 : x
  2. Step 2: Convert to fraction form
    477,591.90/658,624.47 = 305,564.30/x
  3. Step 3: Cross multiply
    477,591.90x = 658,624.47 × 305,564.30
  4. Step 4: Simplify right side
    477,591.90x = 201,252,123,169.27
  5. Step 5: Solve for x
    x = 201,252,123,169.27/477,591.90
  6. Step 6: Final answer
    x = 421,389.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.