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Finding the Fourth Proportional to 443,399.10, 665,098.65 and 177,200.70

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Solution

The fourth proportional to 443,399.10, 665,098.65 and 177,200.70 is: 265,801.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,399.10 : 665,098.65 = 177,200.70 : x
  2. Step 2: Convert to fraction form
    443,399.10/665,098.65 = 177,200.70/x
  3. Step 3: Cross multiply
    443,399.10x = 665,098.65 × 177,200.70
  4. Step 4: Simplify right side
    443,399.10x = 117,855,946,349.06
  5. Step 5: Solve for x
    x = 117,855,946,349.06/443,399.10
  6. Step 6: Final answer
    x = 265,801.05

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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.