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Finding the Fourth Proportional to 443,151.84, 664,768.26 and 176,847.60

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Solution

The fourth proportional to 443,151.84, 664,768.26 and 176,847.60 is: 265,287.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,151.84 : 664,768.26 = 176,847.60 : x
  2. Step 2: Convert to fraction form
    443,151.84/664,768.26 = 176,847.60/x
  3. Step 3: Cross multiply
    443,151.84x = 664,768.26 × 176,847.60
  4. Step 4: Simplify right side
    443,151.84x = 117,562,671,337.18
  5. Step 5: Solve for x
    x = 117,562,671,337.18/443,151.84
  6. Step 6: Final answer
    x = 265,287.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.