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Finding the Fourth Proportional to 521,738.72, 719,997.83 and 289,180.50

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Solution

The fourth proportional to 521,738.72, 719,997.83 and 289,180.50 is: 399,068.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,738.72 : 719,997.83 = 289,180.50 : x
  2. Step 2: Convert to fraction form
    521,738.72/719,997.83 = 289,180.50/x
  3. Step 3: Cross multiply
    521,738.72x = 719,997.83 × 289,180.50
  4. Step 4: Simplify right side
    521,738.72x = 208,209,332,478.32
  5. Step 5: Solve for x
    x = 208,209,332,478.32/521,738.72
  6. Step 6: Final answer
    x = 399,068.21

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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.