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Finding the Fourth Proportional to 445,395, 666,418.50 and 312,534.48

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Solution

The fourth proportional to 445,395, 666,418.50 and 312,534.48 is: 467,627.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,395 : 666,418.50 = 312,534.48 : x
  2. Step 2: Convert to fraction form
    445,395/666,418.50 = 312,534.48/x
  3. Step 3: Cross multiply
    445,395x = 666,418.50 × 312,534.48
  4. Step 4: Simplify right side
    445,395x = 208,278,759,359.88
  5. Step 5: Solve for x
    x = 208,278,759,359.88/445,395
  6. Step 6: Final answer
    x = 467,627.07

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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.