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Finding the Fourth Proportional to 529,774.74, 731,098.26 and 288,058.94

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Solution

The fourth proportional to 529,774.74, 731,098.26 and 288,058.94 is: 397,526.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,774.74 : 731,098.26 = 288,058.94 : x
  2. Step 2: Convert to fraction form
    529,774.74/731,098.26 = 288,058.94/x
  3. Step 3: Cross multiply
    529,774.74x = 731,098.26 × 288,058.94
  4. Step 4: Simplify right side
    529,774.74x = 210,599,389,811.44
  5. Step 5: Solve for x
    x = 210,599,389,811.44/529,774.74
  6. Step 6: Final answer
    x = 397,526.30

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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.