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Finding the Fourth Proportional to 427,429.40, 641,201.70 and 147,032.60

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Solution

The fourth proportional to 427,429.40, 641,201.70 and 147,032.60 is: 220,568.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,429.40 : 641,201.70 = 147,032.60 : x
  2. Step 2: Convert to fraction form
    427,429.40/641,201.70 = 147,032.60/x
  3. Step 3: Cross multiply
    427,429.40x = 641,201.70 × 147,032.60
  4. Step 4: Simplify right side
    427,429.40x = 94,277,553,075.42
  5. Step 5: Solve for x
    x = 94,277,553,075.42/427,429.40
  6. Step 6: Final answer
    x = 220,568.71

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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.