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Finding the Fourth Proportional to 529,264.26, 730,381.59 and 311,599.44

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Solution

The fourth proportional to 529,264.26, 730,381.59 and 311,599.44 is: 430,005.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,264.26 : 730,381.59 = 311,599.44 : x
  2. Step 2: Convert to fraction form
    529,264.26/730,381.59 = 311,599.44/x
  3. Step 3: Cross multiply
    529,264.26x = 730,381.59 × 311,599.44
  4. Step 4: Simplify right side
    529,264.26x = 227,586,494,430.31
  5. Step 5: Solve for x
    x = 227,586,494,430.31/529,264.26
  6. Step 6: Final answer
    x = 430,005.41

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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.