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Finding the Fourth Proportional to 569,350, 785,704.28 and 343,005.04

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Solution

The fourth proportional to 569,350, 785,704.28 and 343,005.04 is: 473,347.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,350 : 785,704.28 = 343,005.04 : x
  2. Step 2: Convert to fraction form
    569,350/785,704.28 = 343,005.04/x
  3. Step 3: Cross multiply
    569,350x = 785,704.28 × 343,005.04
  4. Step 4: Simplify right side
    569,350x = 269,500,527,989.57
  5. Step 5: Solve for x
    x = 269,500,527,989.57/569,350
  6. Step 6: Final answer
    x = 473,347.73

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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.