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Finding the Fourth Proportional to 338,116.40, 507,224.08 and 101,477.84

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Solution

The fourth proportional to 338,116.40, 507,224.08 and 101,477.84 is: 152,231.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,116.40 : 507,224.08 = 101,477.84 : x
  2. Step 2: Convert to fraction form
    338,116.40/507,224.08 = 101,477.84/x
  3. Step 3: Cross multiply
    338,116.40x = 507,224.08 × 101,477.84
  4. Step 4: Simplify right side
    338,116.40x = 51,472,004,034.39
  5. Step 5: Solve for x
    x = 51,472,004,034.39/338,116.40
  6. Step 6: Final answer
    x = 152,231.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.