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Finding the Fourth Proportional to 338,102.36, 466,581.45 and 210,778.46

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Solution

The fourth proportional to 338,102.36, 466,581.45 and 210,778.46 is: 290,874.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,102.36 : 466,581.45 = 210,778.46 : x
  2. Step 2: Convert to fraction form
    338,102.36/466,581.45 = 210,778.46/x
  3. Step 3: Cross multiply
    338,102.36x = 466,581.45 × 210,778.46
  4. Step 4: Simplify right side
    338,102.36x = 98,345,319,495.57
  5. Step 5: Solve for x
    x = 98,345,319,495.57/338,102.36
  6. Step 6: Final answer
    x = 290,874.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.