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Finding the Fourth Proportional to 424,138.28, 585,254.10 and 262,934.48

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Solution

The fourth proportional to 424,138.28, 585,254.10 and 262,934.48 is: 362,814.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,138.28 : 585,254.10 = 262,934.48 : x
  2. Step 2: Convert to fraction form
    424,138.28/585,254.10 = 262,934.48/x
  3. Step 3: Cross multiply
    424,138.28x = 585,254.10 × 262,934.48
  4. Step 4: Simplify right side
    424,138.28x = 153,883,482,451.37
  5. Step 5: Solve for x
    x = 153,883,482,451.37/424,138.28
  6. Step 6: Final answer
    x = 362,814.42

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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.