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Finding the Fourth Proportional to 446,706.72, 670,142.16 and 147,204.96

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Solution

The fourth proportional to 446,706.72, 670,142.16 and 147,204.96 is: 220,834.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,706.72 : 670,142.16 = 147,204.96 : x
  2. Step 2: Convert to fraction form
    446,706.72/670,142.16 = 147,204.96/x
  3. Step 3: Cross multiply
    446,706.72x = 670,142.16 × 147,204.96
  4. Step 4: Simplify right side
    446,706.72x = 98,648,249,857.11
  5. Step 5: Solve for x
    x = 98,648,249,857.11/446,706.72
  6. Step 6: Final answer
    x = 220,834.49

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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.