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Finding the Fourth Proportional to 331,534.66, 497,305.47 and 265,395.23

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Solution

The fourth proportional to 331,534.66, 497,305.47 and 265,395.23 is: 398,095.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,534.66 : 497,305.47 = 265,395.23 : x
  2. Step 2: Convert to fraction form
    331,534.66/497,305.47 = 265,395.23/x
  3. Step 3: Cross multiply
    331,534.66x = 497,305.47 × 265,395.23
  4. Step 4: Simplify right side
    331,534.66x = 131,982,499,590.91
  5. Step 5: Solve for x
    x = 131,982,499,590.91/331,534.66
  6. Step 6: Final answer
    x = 398,095.63

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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.