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Finding the Fourth Proportional to 863,438, 1,191,544.44 and 505,742

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Solution

The fourth proportional to 863,438, 1,191,544.44 and 505,742 is: 697,923.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,438 : 1,191,544.44 = 505,742 : x
  2. Step 2: Convert to fraction form
    863,438/1,191,544.44 = 505,742/x
  3. Step 3: Cross multiply
    863,438x = 1,191,544.44 × 505,742
  4. Step 4: Simplify right side
    863,438x = 602,614,068,174.48
  5. Step 5: Solve for x
    x = 602,614,068,174.48/863,438
  6. Step 6: Final answer
    x = 697,923.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.