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Finding the Fourth Proportional to 331,537.40, 497,309.60 and 265,397.98

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Solution

The fourth proportional to 331,537.40, 497,309.60 and 265,397.98 is: 398,099.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,537.40 : 497,309.60 = 265,397.98 : x
  2. Step 2: Convert to fraction form
    331,537.40/497,309.60 = 265,397.98/x
  3. Step 3: Cross multiply
    331,537.40x = 497,309.60 × 265,397.98
  4. Step 4: Simplify right side
    331,537.40x = 131,984,963,274.61
  5. Step 5: Solve for x
    x = 131,984,963,274.61/331,537.40
  6. Step 6: Final answer
    x = 398,099.77

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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.