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Finding the Fourth Proportional to 413,736.30, 620,592.08 and 114,235.16

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Solution

The fourth proportional to 413,736.30, 620,592.08 and 114,235.16 is: 171,349.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,736.30 : 620,592.08 = 114,235.16 : x
  2. Step 2: Convert to fraction form
    413,736.30/620,592.08 = 114,235.16/x
  3. Step 3: Cross multiply
    413,736.30x = 620,592.08 × 114,235.16
  4. Step 4: Simplify right side
    413,736.30x = 70,893,431,879.40
  5. Step 5: Solve for x
    x = 70,893,431,879.40/413,736.30
  6. Step 6: Final answer
    x = 171,349.32

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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.