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Finding the Fourth Proportional to 529,633.44, 731,129.76 and 314,843.04

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Solution

The fourth proportional to 529,633.44, 731,129.76 and 314,843.04 is: 434,623.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,633.44 : 731,129.76 = 314,843.04 : x
  2. Step 2: Convert to fraction form
    529,633.44/731,129.76 = 314,843.04/x
  3. Step 3: Cross multiply
    529,633.44x = 731,129.76 × 314,843.04
  4. Step 4: Simplify right side
    529,633.44x = 230,191,116,272.87
  5. Step 5: Solve for x
    x = 230,191,116,272.87/529,633.44
  6. Step 6: Final answer
    x = 434,623.46

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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.