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Finding the Fourth Proportional to 863,745, 1,191,646.80 and 500,965.44

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Solution

The fourth proportional to 863,745, 1,191,646.80 and 500,965.44 is: 691,145.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,745 : 1,191,646.80 = 500,965.44 : x
  2. Step 2: Convert to fraction form
    863,745/1,191,646.80 = 500,965.44/x
  3. Step 3: Cross multiply
    863,745x = 1,191,646.80 × 500,965.44
  4. Step 4: Simplify right side
    863,745x = 596,973,863,486.59
  5. Step 5: Solve for x
    x = 596,973,863,486.59/863,745
  6. Step 6: Final answer
    x = 691,145.96

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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.