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Finding the Fourth Proportional to 497,308.60, 745,968.16 and 398,099.48

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Solution

The fourth proportional to 497,308.60, 745,968.16 and 398,099.48 is: 597,153.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,308.60 : 745,968.16 = 398,099.48 : x
  2. Step 2: Convert to fraction form
    497,308.60/745,968.16 = 398,099.48/x
  3. Step 3: Cross multiply
    497,308.60x = 745,968.16 × 398,099.48
  4. Step 4: Simplify right side
    497,308.60x = 296,969,536,592.56
  5. Step 5: Solve for x
    x = 296,969,536,592.56/497,308.60
  6. Step 6: Final answer
    x = 597,153.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.