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Finding the Fourth Proportional to 472,704.27, 709,235.54 and 283,300.56

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Solution

The fourth proportional to 472,704.27, 709,235.54 and 283,300.56 is: 425,058.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,704.27 : 709,235.54 = 283,300.56 : x
  2. Step 2: Convert to fraction form
    472,704.27/709,235.54 = 283,300.56/x
  3. Step 3: Cross multiply
    472,704.27x = 709,235.54 × 283,300.56
  4. Step 4: Simplify right side
    472,704.27x = 200,926,825,653.90
  5. Step 5: Solve for x
    x = 200,926,825,653.90/472,704.27
  6. Step 6: Final answer
    x = 425,058.20

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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.