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Finding the Fourth Proportional to 854,181, 1,178,667.42 and 472,155.84

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Solution

The fourth proportional to 854,181, 1,178,667.42 and 472,155.84 is: 651,518.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,181 : 1,178,667.42 = 472,155.84 : x
  2. Step 2: Convert to fraction form
    854,181/1,178,667.42 = 472,155.84/x
  3. Step 3: Cross multiply
    854,181x = 1,178,667.42 × 472,155.84
  4. Step 4: Simplify right side
    854,181x = 556,514,705,770.73
  5. Step 5: Solve for x
    x = 556,514,705,770.73/854,181
  6. Step 6: Final answer
    x = 651,518.48

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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.