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Finding the Fourth Proportional to 472,150.02, 708,224.04 and 147,963

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Solution

The fourth proportional to 472,150.02, 708,224.04 and 147,963 is: 221,944.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,150.02 : 708,224.04 = 147,963 : x
  2. Step 2: Convert to fraction form
    472,150.02/708,224.04 = 147,963/x
  3. Step 3: Cross multiply
    472,150.02x = 708,224.04 × 147,963
  4. Step 4: Simplify right side
    472,150.02x = 104,790,953,630.52
  5. Step 5: Solve for x
    x = 104,790,953,630.52/472,150.02
  6. Step 6: Final answer
    x = 221,944.19

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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.