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Finding the Fourth Proportional to 508,416.32, 701,590.74 and 278,968.43

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Solution

The fourth proportional to 508,416.32, 701,590.74 and 278,968.43 is: 384,963.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,416.32 : 701,590.74 = 278,968.43 : x
  2. Step 2: Convert to fraction form
    508,416.32/701,590.74 = 278,968.43/x
  3. Step 3: Cross multiply
    508,416.32x = 701,590.74 × 278,968.43
  4. Step 4: Simplify right side
    508,416.32x = 195,721,667,240.34
  5. Step 5: Solve for x
    x = 195,721,667,240.34/508,416.32
  6. Step 6: Final answer
    x = 384,963.38

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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.