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Finding the Fourth Proportional to 400,761.67, 601,247.06 and 176,166.34

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Solution

The fourth proportional to 400,761.67, 601,247.06 and 176,166.34 is: 264,295.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,761.67 : 601,247.06 = 176,166.34 : x
  2. Step 2: Convert to fraction form
    400,761.67/601,247.06 = 176,166.34/x
  3. Step 3: Cross multiply
    400,761.67x = 601,247.06 × 176,166.34
  4. Step 4: Simplify right side
    400,761.67x = 105,919,492,933.26
  5. Step 5: Solve for x
    x = 105,919,492,933.26/400,761.67
  6. Step 6: Final answer
    x = 264,295.47

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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.