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Finding the Fourth Proportional to 517,183.32, 713,905.86 and 302,392.38

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Solution

The fourth proportional to 517,183.32, 713,905.86 and 302,392.38 is: 417,414.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,183.32 : 713,905.86 = 302,392.38 : x
  2. Step 2: Convert to fraction form
    517,183.32/713,905.86 = 302,392.38/x
  3. Step 3: Cross multiply
    517,183.32x = 713,905.86 × 302,392.38
  4. Step 4: Simplify right side
    517,183.32x = 215,879,692,101.35
  5. Step 5: Solve for x
    x = 215,879,692,101.35/517,183.32
  6. Step 6: Final answer
    x = 417,414.26

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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.