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Finding the Fourth Proportional to 507,072.30, 760,633.02 and 418,163.46

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Solution

The fourth proportional to 507,072.30, 760,633.02 and 418,163.46 is: 627,265.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,072.30 : 760,633.02 = 418,163.46 : x
  2. Step 2: Convert to fraction form
    507,072.30/760,633.02 = 418,163.46/x
  3. Step 3: Cross multiply
    507,072.30x = 760,633.02 × 418,163.46
  4. Step 4: Simplify right side
    507,072.30x = 318,068,935,433.45
  5. Step 5: Solve for x
    x = 318,068,935,433.45/507,072.30
  6. Step 6: Final answer
    x = 627,265.45

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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.