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Finding the Fourth Proportional to 854,173, 1,178,656.41 and 472,147.84

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Solution

The fourth proportional to 854,173, 1,178,656.41 and 472,147.84 is: 651,507.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,173 : 1,178,656.41 = 472,147.84 : x
  2. Step 2: Convert to fraction form
    854,173/1,178,656.41 = 472,147.84/x
  3. Step 3: Cross multiply
    854,173x = 1,178,656.41 × 472,147.84
  4. Step 4: Simplify right side
    854,173x = 556,500,078,083.65
  5. Step 5: Solve for x
    x = 556,500,078,083.65/854,173
  6. Step 6: Final answer
    x = 651,507.46

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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.