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Finding the Fourth Proportional to 379,140.96, 523,210.32 and 209,371.68

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Solution

The fourth proportional to 379,140.96, 523,210.32 and 209,371.68 is: 288,930.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,140.96 : 523,210.32 = 209,371.68 : x
  2. Step 2: Convert to fraction form
    379,140.96/523,210.32 = 209,371.68/x
  3. Step 3: Cross multiply
    379,140.96x = 523,210.32 × 209,371.68
  4. Step 4: Simplify right side
    379,140.96x = 109,545,423,691.74
  5. Step 5: Solve for x
    x = 109,545,423,691.74/379,140.96
  6. Step 6: Final answer
    x = 288,930.60

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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.