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Finding the Fourth Proportional to 575,647.56, 863,670.49 and 196,834.93

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Solution

The fourth proportional to 575,647.56, 863,670.49 and 196,834.93 is: 295,320.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,647.56 : 863,670.49 = 196,834.93 : x
  2. Step 2: Convert to fraction form
    575,647.56/863,670.49 = 196,834.93/x
  3. Step 3: Cross multiply
    575,647.56x = 863,670.49 × 196,834.93
  4. Step 4: Simplify right side
    575,647.56x = 170,000,519,458.04
  5. Step 5: Solve for x
    x = 170,000,519,458.04/575,647.56
  6. Step 6: Final answer
    x = 295,320.49

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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.