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Finding the Fourth Proportional to 863,434, 1,191,538.92 and 505,738

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Solution

The fourth proportional to 863,434, 1,191,538.92 and 505,738 is: 697,918.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,434 : 1,191,538.92 = 505,738 : x
  2. Step 2: Convert to fraction form
    863,434/1,191,538.92 = 505,738/x
  3. Step 3: Cross multiply
    863,434x = 1,191,538.92 × 505,738
  4. Step 4: Simplify right side
    863,434x = 602,606,510,322.96
  5. Step 5: Solve for x
    x = 602,606,510,322.96/863,434
  6. Step 6: Final answer
    x = 697,918.44

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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.