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Finding the Fourth Proportional to 421,704.75, 632,557.71 and 172,386.75

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Solution

The fourth proportional to 421,704.75, 632,557.71 and 172,386.75 is: 258,580.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,704.75 : 632,557.71 = 172,386.75 : x
  2. Step 2: Convert to fraction form
    421,704.75/632,557.71 = 172,386.75/x
  3. Step 3: Cross multiply
    421,704.75x = 632,557.71 × 172,386.75
  4. Step 4: Simplify right side
    421,704.75x = 109,044,567,814.34
  5. Step 5: Solve for x
    x = 109,044,567,814.34/421,704.75
  6. Step 6: Final answer
    x = 258,580.36

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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.