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Finding the Fourth Proportional to 341,790.74, 471,711.30 and 205,893.29

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Solution

The fourth proportional to 341,790.74, 471,711.30 and 205,893.29 is: 284,156.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,790.74 : 471,711.30 = 205,893.29 : x
  2. Step 2: Convert to fraction form
    341,790.74/471,711.30 = 205,893.29/x
  3. Step 3: Cross multiply
    341,790.74x = 471,711.30 × 205,893.29
  4. Step 4: Simplify right side
    341,790.74x = 97,122,191,894.36
  5. Step 5: Solve for x
    x = 97,122,191,894.36/341,790.74
  6. Step 6: Final answer
    x = 284,156.89

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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.