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Finding the Fourth Proportional to 328,208.76, 492,116.31 and 150,493.14

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Solution

The fourth proportional to 328,208.76, 492,116.31 and 150,493.14 is: 225,649.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,208.76 : 492,116.31 = 150,493.14 : x
  2. Step 2: Convert to fraction form
    328,208.76/492,116.31 = 150,493.14/x
  3. Step 3: Cross multiply
    328,208.76x = 492,116.31 × 150,493.14
  4. Step 4: Simplify right side
    328,208.76x = 74,060,128,737.11
  5. Step 5: Solve for x
    x = 74,060,128,737.11/328,208.76
  6. Step 6: Final answer
    x = 225,649.46

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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.