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Finding the Fourth Proportional to 538,523.34, 807,022.29 and 298,742.03

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Solution

The fourth proportional to 538,523.34, 807,022.29 and 298,742.03 is: 447,689.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,523.34 : 807,022.29 = 298,742.03 : x
  2. Step 2: Convert to fraction form
    538,523.34/807,022.29 = 298,742.03/x
  3. Step 3: Cross multiply
    538,523.34x = 807,022.29 × 298,742.03
  4. Step 4: Simplify right side
    538,523.34x = 241,091,473,134.74
  5. Step 5: Solve for x
    x = 241,091,473,134.74/538,523.34
  6. Step 6: Final answer
    x = 447,689.92

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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.