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Finding the Fourth Proportional to 443,463.20, 665,281.20 and 177,178.40

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Solution

The fourth proportional to 443,463.20, 665,281.20 and 177,178.40 is: 265,802.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,463.20 : 665,281.20 = 177,178.40 : x
  2. Step 2: Convert to fraction form
    443,463.20/665,281.20 = 177,178.40/x
  3. Step 3: Cross multiply
    443,463.20x = 665,281.20 × 177,178.40
  4. Step 4: Simplify right side
    443,463.20x = 117,873,458,566.08
  5. Step 5: Solve for x
    x = 117,873,458,566.08/443,463.20
  6. Step 6: Final answer
    x = 265,802.12

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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.