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Finding the Fourth Proportional to 529,912.71, 731,284.83 and 288,200.70

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Solution

The fourth proportional to 529,912.71, 731,284.83 and 288,200.70 is: 397,719.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,912.71 : 731,284.83 = 288,200.70 : x
  2. Step 2: Convert to fraction form
    529,912.71/731,284.83 = 288,200.70/x
  3. Step 3: Cross multiply
    529,912.71x = 731,284.83 × 288,200.70
  4. Step 4: Simplify right side
    529,912.71x = 210,756,799,905.38
  5. Step 5: Solve for x
    x = 210,756,799,905.38/529,912.71
  6. Step 6: Final answer
    x = 397,719.84

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Why These Related Problems?

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