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Finding the Fourth Proportional to 462,816.47, 638,678.26 and 261,612.47

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Solution

The fourth proportional to 462,816.47, 638,678.26 and 261,612.47 is: 361,020.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,816.47 : 638,678.26 = 261,612.47 : x
  2. Step 2: Convert to fraction form
    462,816.47/638,678.26 = 261,612.47/x
  3. Step 3: Cross multiply
    462,816.47x = 638,678.26 × 261,612.47
  4. Step 4: Simplify right side
    462,816.47x = 167,086,197,133.90
  5. Step 5: Solve for x
    x = 167,086,197,133.90/462,816.47
  6. Step 6: Final answer
    x = 361,020.42

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1.5x scale

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.