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Finding the Fourth Proportional to 600,854.22, 829,269.90 and 342,729.90

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Solution

The fourth proportional to 600,854.22, 829,269.90 and 342,729.90 is: 473,019.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,854.22 : 829,269.90 = 342,729.90 : x
  2. Step 2: Convert to fraction form
    600,854.22/829,269.90 = 342,729.90/x
  3. Step 3: Cross multiply
    600,854.22x = 829,269.90 × 342,729.90
  4. Step 4: Simplify right side
    600,854.22x = 284,215,589,900.01
  5. Step 5: Solve for x
    x = 284,215,589,900.01/600,854.22
  6. Step 6: Final answer
    x = 473,019.21

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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.