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Finding the Fourth Proportional to 400,948.74, 601,350.44 and 161,052.98

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Solution

The fourth proportional to 400,948.74, 601,350.44 and 161,052.98 is: 241,550.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,948.74 : 601,350.44 = 161,052.98 : x
  2. Step 2: Convert to fraction form
    400,948.74/601,350.44 = 161,052.98/x
  3. Step 3: Cross multiply
    400,948.74x = 601,350.44 × 161,052.98
  4. Step 4: Simplify right side
    400,948.74x = 96,849,276,574.29
  5. Step 5: Solve for x
    x = 96,849,276,574.29/400,948.74
  6. Step 6: Final answer
    x = 241,550.27

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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.