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Finding the Fourth Proportional to 472,608.60, 708,977.70 and 157,032.60

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Solution

The fourth proportional to 472,608.60, 708,977.70 and 157,032.60 is: 235,570.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,608.60 : 708,977.70 = 157,032.60 : x
  2. Step 2: Convert to fraction form
    472,608.60/708,977.70 = 157,032.60/x
  3. Step 3: Cross multiply
    472,608.60x = 708,977.70 × 157,032.60
  4. Step 4: Simplify right side
    472,608.60x = 111,332,611,573.02
  5. Step 5: Solve for x
    x = 111,332,611,573.02/472,608.60
  6. Step 6: Final answer
    x = 235,570.43

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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.