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Finding the Fourth Proportional to 510,426.56, 765,754.14 and 155,468.36

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Solution

The fourth proportional to 510,426.56, 765,754.14 and 155,468.36 is: 233,237.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,426.56 : 765,754.14 = 155,468.36 : x
  2. Step 2: Convert to fraction form
    510,426.56/765,754.14 = 155,468.36/x
  3. Step 3: Cross multiply
    510,426.56x = 765,754.14 × 155,468.36
  4. Step 4: Simplify right side
    510,426.56x = 119,050,540,309.01
  5. Step 5: Solve for x
    x = 119,050,540,309.01/510,426.56
  6. Step 6: Final answer
    x = 233,237.35

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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.