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Finding the Fourth Proportional to 410,813.65, 616,727.94 and 194,878.86

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Solution

The fourth proportional to 410,813.65, 616,727.94 and 194,878.86 is: 292,559.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,813.65 : 616,727.94 = 194,878.86 : x
  2. Step 2: Convert to fraction form
    410,813.65/616,727.94 = 194,878.86/x
  3. Step 3: Cross multiply
    410,813.65x = 616,727.94 × 194,878.86
  4. Step 4: Simplify right side
    410,813.65x = 120,187,237,877.35
  5. Step 5: Solve for x
    x = 120,187,237,877.35/410,813.65
  6. Step 6: Final answer
    x = 292,559.02

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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.