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Finding the Fourth Proportional to 431,167.84, 646,594.08 and 164,796.64

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Solution

The fourth proportional to 431,167.84, 646,594.08 and 164,796.64 is: 247,134.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,167.84 : 646,594.08 = 164,796.64 : x
  2. Step 2: Convert to fraction form
    431,167.84/646,594.08 = 164,796.64/x
  3. Step 3: Cross multiply
    431,167.84x = 646,594.08 × 164,796.64
  4. Step 4: Simplify right side
    431,167.84x = 106,556,531,827.89
  5. Step 5: Solve for x
    x = 106,556,531,827.89/431,167.84
  6. Step 6: Final answer
    x = 247,134.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.