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Finding the Fourth Proportional to 461,971, 637,519.98 and 250,003

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Solution

The fourth proportional to 461,971, 637,519.98 and 250,003 is: 345,004.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,971 : 637,519.98 = 250,003 : x
  2. Step 2: Convert to fraction form
    461,971/637,519.98 = 250,003/x
  3. Step 3: Cross multiply
    461,971x = 637,519.98 × 250,003
  4. Step 4: Simplify right side
    461,971x = 159,381,907,559.94
  5. Step 5: Solve for x
    x = 159,381,907,559.94/461,971
  6. Step 6: Final answer
    x = 345,004.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.