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Finding the Fourth Proportional to 529,892.06, 731,244.14 and 288,169.50

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Solution

The fourth proportional to 529,892.06, 731,244.14 and 288,169.50 is: 397,670.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,892.06 : 731,244.14 = 288,169.50 : x
  2. Step 2: Convert to fraction form
    529,892.06/731,244.14 = 288,169.50/x
  3. Step 3: Cross multiply
    529,892.06x = 731,244.14 × 288,169.50
  4. Step 4: Simplify right side
    529,892.06x = 210,722,258,201.73
  5. Step 5: Solve for x
    x = 210,722,258,201.73/529,892.06
  6. Step 6: Final answer
    x = 397,670.16

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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.