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Finding the Fourth Proportional to 529,419.46, 730,596.45 and 287,697.46

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Solution

The fourth proportional to 529,419.46, 730,596.45 and 287,697.46 is: 397,021.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,419.46 : 730,596.45 = 287,697.46 : x
  2. Step 2: Convert to fraction form
    529,419.46/730,596.45 = 287,697.46/x
  3. Step 3: Cross multiply
    529,419.46x = 730,596.45 × 287,697.46
  4. Step 4: Simplify right side
    529,419.46x = 210,190,741,483.15
  5. Step 5: Solve for x
    x = 210,190,741,483.15/529,419.46
  6. Step 6: Final answer
    x = 397,021.19

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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.