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Finding the Fourth Proportional to 472,160.64, 708,314.72 and 191,697.60

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Solution

The fourth proportional to 472,160.64, 708,314.72 and 191,697.60 is: 287,576.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,160.64 : 708,314.72 = 191,697.60 : x
  2. Step 2: Convert to fraction form
    472,160.64/708,314.72 = 191,697.60/x
  3. Step 3: Cross multiply
    472,160.64x = 708,314.72 × 191,697.60
  4. Step 4: Simplify right side
    472,160.64x = 135,782,231,868.67
  5. Step 5: Solve for x
    x = 135,782,231,868.67/472,160.64
  6. Step 6: Final answer
    x = 287,576.35

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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.