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Finding the Fourth Proportional to 472,441.10, 708,664.26 and 117,455.13

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Solution

The fourth proportional to 472,441.10, 708,664.26 and 117,455.13 is: 176,183.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,441.10 : 708,664.26 = 117,455.13 : x
  2. Step 2: Convert to fraction form
    472,441.10/708,664.26 = 117,455.13/x
  3. Step 3: Cross multiply
    472,441.10x = 708,664.26 × 117,455.13
  4. Step 4: Simplify right side
    472,441.10x = 83,236,252,784.65
  5. Step 5: Solve for x
    x = 83,236,252,784.65/472,441.10
  6. Step 6: Final answer
    x = 176,183.34

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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.