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Finding the Fourth Proportional to 476,998.72, 715,826.14 and 196,515.96

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Solution

The fourth proportional to 476,998.72, 715,826.14 and 196,515.96 is: 294,909.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,998.72 : 715,826.14 = 196,515.96 : x
  2. Step 2: Convert to fraction form
    476,998.72/715,826.14 = 196,515.96/x
  3. Step 3: Cross multiply
    476,998.72x = 715,826.14 × 196,515.96
  4. Step 4: Simplify right side
    476,998.72x = 140,671,261,095.19
  5. Step 5: Solve for x
    x = 140,671,261,095.19/476,998.72
  6. Step 6: Final answer
    x = 294,909.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.