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Finding the Fourth Proportional to 413,719.72, 620,615.18 and 114,200.34

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Solution

The fourth proportional to 413,719.72, 620,615.18 and 114,200.34 is: 171,310.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,719.72 : 620,615.18 = 114,200.34 : x
  2. Step 2: Convert to fraction form
    413,719.72/620,615.18 = 114,200.34/x
  3. Step 3: Cross multiply
    413,719.72x = 620,615.18 × 114,200.34
  4. Step 4: Simplify right side
    413,719.72x = 70,874,464,565.16
  5. Step 5: Solve for x
    x = 70,874,464,565.16/413,719.72
  6. Step 6: Final answer
    x = 171,310.34

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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.