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Finding the Fourth Proportional to 384,001.77, 529,935.17 and 209,581.50

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Solution

The fourth proportional to 384,001.77, 529,935.17 and 209,581.50 is: 289,229.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,001.77 : 529,935.17 = 209,581.50 : x
  2. Step 2: Convert to fraction form
    384,001.77/529,935.17 = 209,581.50/x
  3. Step 3: Cross multiply
    384,001.77x = 529,935.17 × 209,581.50
  4. Step 4: Simplify right side
    384,001.77x = 111,064,606,783.45
  5. Step 5: Solve for x
    x = 111,064,606,783.45/384,001.77
  6. Step 6: Final answer
    x = 289,229.41

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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.