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Finding the Fourth Proportional to 340,570.96, 469,931.62 and 206,434.96

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Solution

The fourth proportional to 340,570.96, 469,931.62 and 206,434.96 is: 284,846.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,570.96 : 469,931.62 = 206,434.96 : x
  2. Step 2: Convert to fraction form
    340,570.96/469,931.62 = 206,434.96/x
  3. Step 3: Cross multiply
    340,570.96x = 469,931.62 × 206,434.96
  4. Step 4: Simplify right side
    340,570.96x = 97,010,315,177.44
  5. Step 5: Solve for x
    x = 97,010,315,177.44/340,570.96
  6. Step 6: Final answer
    x = 284,846.12

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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.