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Finding the Fourth Proportional to 498,536.34, 747,903.14 and 182,995.98

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Solution

The fourth proportional to 498,536.34, 747,903.14 and 182,995.98 is: 274,530.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,536.34 : 747,903.14 = 182,995.98 : x
  2. Step 2: Convert to fraction form
    498,536.34/747,903.14 = 182,995.98/x
  3. Step 3: Cross multiply
    498,536.34x = 747,903.14 × 182,995.98
  4. Step 4: Simplify right side
    498,536.34x = 136,863,268,049.38
  5. Step 5: Solve for x
    x = 136,863,268,049.38/498,536.34
  6. Step 6: Final answer
    x = 274,530.17

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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.