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Finding the Fourth Proportional to 460,698.30, 691,082.44 and 156,998.07

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Solution

The fourth proportional to 460,698.30, 691,082.44 and 156,998.07 is: 235,509.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,698.30 : 691,082.44 = 156,998.07 : x
  2. Step 2: Convert to fraction form
    460,698.30/691,082.44 = 156,998.07/x
  3. Step 3: Cross multiply
    460,698.30x = 691,082.44 × 156,998.07
  4. Step 4: Simplify right side
    460,698.30x = 108,498,609,290.89
  5. Step 5: Solve for x
    x = 108,498,609,290.89/460,698.30
  6. Step 6: Final answer
    x = 235,509.03

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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.