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Finding the Fourth Proportional to 338,574.92, 507,424.98 and 161,136.32

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Solution

The fourth proportional to 338,574.92, 507,424.98 and 161,136.32 is: 241,496.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,574.92 : 507,424.98 = 161,136.32 : x
  2. Step 2: Convert to fraction form
    338,574.92/507,424.98 = 161,136.32/x
  3. Step 3: Cross multiply
    338,574.92x = 507,424.98 × 161,136.32
  4. Step 4: Simplify right side
    338,574.92x = 81,764,593,953.27
  5. Step 5: Solve for x
    x = 81,764,593,953.27/338,574.92
  6. Step 6: Final answer
    x = 241,496.31

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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.