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Finding the Fourth Proportional to 474,864.52, 712,430.28 and 190,754.56

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Solution

The fourth proportional to 474,864.52, 712,430.28 and 190,754.56 is: 286,185.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,864.52 : 712,430.28 = 190,754.56 : x
  2. Step 2: Convert to fraction form
    474,864.52/712,430.28 = 190,754.56/x
  3. Step 3: Cross multiply
    474,864.52x = 712,430.28 × 190,754.56
  4. Step 4: Simplify right side
    474,864.52x = 135,899,324,592.08
  5. Step 5: Solve for x
    x = 135,899,324,592.08/474,864.52
  6. Step 6: Final answer
    x = 286,185.47

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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.