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Finding the Fourth Proportional to 421,460.90, 631,192.62 and 241,644.14

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Solution

The fourth proportional to 421,460.90, 631,192.62 and 241,644.14 is: 361,893.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,460.90 : 631,192.62 = 241,644.14 : x
  2. Step 2: Convert to fraction form
    421,460.90/631,192.62 = 241,644.14/x
  3. Step 3: Cross multiply
    421,460.90x = 631,192.62 × 241,644.14
  4. Step 4: Simplify right side
    421,460.90x = 152,523,997,834.25
  5. Step 5: Solve for x
    x = 152,523,997,834.25/421,460.90
  6. Step 6: Final answer
    x = 361,893.59

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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.