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Finding the Fourth Proportional to 508,700.72, 701,981.24 and 301,977.96

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Solution

The fourth proportional to 508,700.72, 701,981.24 and 301,977.96 is: 416,714.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,700.72 : 701,981.24 = 301,977.96 : x
  2. Step 2: Convert to fraction form
    508,700.72/701,981.24 = 301,977.96/x
  3. Step 3: Cross multiply
    508,700.72x = 701,981.24 × 301,977.96
  4. Step 4: Simplify right side
    508,700.72x = 211,982,858,671.15
  5. Step 5: Solve for x
    x = 211,982,858,671.15/508,700.72
  6. Step 6: Final answer
    x = 416,714.29

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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.