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Finding the Fourth Proportional to 472,729.88, 708,940.86 and 157,102.04

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Solution

The fourth proportional to 472,729.88, 708,940.86 and 157,102.04 is: 235,601.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,729.88 : 708,940.86 = 157,102.04 : x
  2. Step 2: Convert to fraction form
    472,729.88/708,940.86 = 157,102.04/x
  3. Step 3: Cross multiply
    472,729.88x = 708,940.86 × 157,102.04
  4. Step 4: Simplify right side
    472,729.88x = 111,376,055,345.35
  5. Step 5: Solve for x
    x = 111,376,055,345.35/472,729.88
  6. Step 6: Final answer
    x = 235,601.89

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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.