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Finding the Fourth Proportional to 421,568.64, 632,601.90 and 155,514.96

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Solution

The fourth proportional to 421,568.64, 632,601.90 and 155,514.96 is: 233,364.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,568.64 : 632,601.90 = 155,514.96 : x
  2. Step 2: Convert to fraction form
    421,568.64/632,601.90 = 155,514.96/x
  3. Step 3: Cross multiply
    421,568.64x = 632,601.90 × 155,514.96
  4. Step 4: Simplify right side
    421,568.64x = 98,379,059,174.42
  5. Step 5: Solve for x
    x = 98,379,059,174.42/421,568.64
  6. Step 6: Final answer
    x = 233,364.27

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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.