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Finding the Fourth Proportional to 386,744.35, 533,739.35 and 214,678.48

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Solution

The fourth proportional to 386,744.35, 533,739.35 and 214,678.48 is: 296,274.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,744.35 : 533,739.35 = 214,678.48 : x
  2. Step 2: Convert to fraction form
    386,744.35/533,739.35 = 214,678.48/x
  3. Step 3: Cross multiply
    386,744.35x = 533,739.35 × 214,678.48
  4. Step 4: Simplify right side
    386,744.35x = 114,582,348,632.10
  5. Step 5: Solve for x
    x = 114,582,348,632.10/386,744.35
  6. Step 6: Final answer
    x = 296,274.14

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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.