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Finding the Fourth Proportional to 475,986.93, 714,680.24 and 196,050.93

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Solution

The fourth proportional to 475,986.93, 714,680.24 and 196,050.93 is: 294,364.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,986.93 : 714,680.24 = 196,050.93 : x
  2. Step 2: Convert to fraction form
    475,986.93/714,680.24 = 196,050.93/x
  3. Step 3: Cross multiply
    475,986.93x = 714,680.24 × 196,050.93
  4. Step 4: Simplify right side
    475,986.93x = 140,113,724,724.37
  5. Step 5: Solve for x
    x = 140,113,724,724.37/475,986.93
  6. Step 6: Final answer
    x = 294,364.65

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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.