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Finding the Fourth Proportional to 441,606.25, 662,420.31 and 161,123.50

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Solution

The fourth proportional to 441,606.25, 662,420.31 and 161,123.50 is: 241,689.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,606.25 : 662,420.31 = 161,123.50 : x
  2. Step 2: Convert to fraction form
    441,606.25/662,420.31 = 161,123.50/x
  3. Step 3: Cross multiply
    441,606.25x = 662,420.31 × 161,123.50
  4. Step 4: Simplify right side
    441,606.25x = 106,731,478,818.29
  5. Step 5: Solve for x
    x = 106,731,478,818.29/441,606.25
  6. Step 6: Final answer
    x = 241,689.24

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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.