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Finding the Fourth Proportional to 508,263.42, 762,422.49 and 134,276.22

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Solution

The fourth proportional to 508,263.42, 762,422.49 and 134,276.22 is: 201,421.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,263.42 : 762,422.49 = 134,276.22 : x
  2. Step 2: Convert to fraction form
    508,263.42/762,422.49 = 134,276.22/x
  3. Step 3: Cross multiply
    508,263.42x = 762,422.49 × 134,276.22
  4. Step 4: Simplify right side
    508,263.42x = 102,375,210,000.19
  5. Step 5: Solve for x
    x = 102,375,210,000.19/508,263.42
  6. Step 6: Final answer
    x = 201,421.56

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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.