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Finding the Fourth Proportional to 826,653.74, 1,140,781.30 and 464,078.30

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Solution

The fourth proportional to 826,653.74, 1,140,781.30 and 464,078.30 is: 640,427.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,653.74 : 1,140,781.30 = 464,078.30 : x
  2. Step 2: Convert to fraction form
    826,653.74/1,140,781.30 = 464,078.30/x
  3. Step 3: Cross multiply
    826,653.74x = 1,140,781.30 × 464,078.30
  4. Step 4: Simplify right side
    826,653.74x = 529,411,846,375.79
  5. Step 5: Solve for x
    x = 529,411,846,375.79/826,653.74
  6. Step 6: Final answer
    x = 640,427.57

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