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Finding the Fourth Proportional to 453,706.32, 680,590.80 and 154,064.64

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Solution

The fourth proportional to 453,706.32, 680,590.80 and 154,064.64 is: 231,107.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,706.32 : 680,590.80 = 154,064.64 : x
  2. Step 2: Convert to fraction form
    453,706.32/680,590.80 = 154,064.64/x
  3. Step 3: Cross multiply
    453,706.32x = 680,590.80 × 154,064.64
  4. Step 4: Simplify right side
    453,706.32x = 104,854,976,589.31
  5. Step 5: Solve for x
    x = 104,854,976,589.31/453,706.32
  6. Step 6: Final answer
    x = 231,107.60

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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.