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Finding the Fourth Proportional to 524,701.80, 723,704.94 and 343,122.48

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Solution

The fourth proportional to 524,701.80, 723,704.94 and 343,122.48 is: 473,258.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,701.80 : 723,704.94 = 343,122.48 : x
  2. Step 2: Convert to fraction form
    524,701.80/723,704.94 = 343,122.48/x
  3. Step 3: Cross multiply
    524,701.80x = 723,704.94 × 343,122.48
  4. Step 4: Simplify right side
    524,701.80x = 248,319,433,801.05
  5. Step 5: Solve for x
    x = 248,319,433,801.05/524,701.80
  6. Step 6: Final answer
    x = 473,258.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.