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Finding the Fourth Proportional to 461,982, 637,535.16 and 250,014

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Solution

The fourth proportional to 461,982, 637,535.16 and 250,014 is: 345,019.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,982 : 637,535.16 = 250,014 : x
  2. Step 2: Convert to fraction form
    461,982/637,535.16 = 250,014/x
  3. Step 3: Cross multiply
    461,982x = 637,535.16 × 250,014
  4. Step 4: Simplify right side
    461,982x = 159,392,715,492.24
  5. Step 5: Solve for x
    x = 159,392,715,492.24/461,982
  6. Step 6: Final answer
    x = 345,019.32

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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.