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Finding the Fourth Proportional to 407,927.87, 611,718.80 and 194,448.86

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Solution

The fourth proportional to 407,927.87, 611,718.80 and 194,448.86 is: 291,590.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,927.87 : 611,718.80 = 194,448.86 : x
  2. Step 2: Convert to fraction form
    407,927.87/611,718.80 = 194,448.86/x
  3. Step 3: Cross multiply
    407,927.87x = 611,718.80 × 194,448.86
  4. Step 4: Simplify right side
    407,927.87x = 118,948,019,269.73
  5. Step 5: Solve for x
    x = 118,948,019,269.73/407,927.87
  6. Step 6: Final answer
    x = 291,590.82

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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.