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Finding the Fourth Proportional to 460,698.62, 691,082.91 and 156,998.39

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Solution

The fourth proportional to 460,698.62, 691,082.91 and 156,998.39 is: 235,509.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,698.62 : 691,082.91 = 156,998.39 : x
  2. Step 2: Convert to fraction form
    460,698.62/691,082.91 = 156,998.39/x
  3. Step 3: Cross multiply
    460,698.62x = 691,082.91 × 156,998.39
  4. Step 4: Simplify right side
    460,698.62x = 108,498,900,771.10
  5. Step 5: Solve for x
    x = 108,498,900,771.10/460,698.62
  6. Step 6: Final answer
    x = 235,509.50

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1.5x scale

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.