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Finding the Fourth Proportional to 433,830.60, 650,843.10 and 167,567.40

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Solution

The fourth proportional to 433,830.60, 650,843.10 and 167,567.40 is: 251,388.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,830.60 : 650,843.10 = 167,567.40 : x
  2. Step 2: Convert to fraction form
    433,830.60/650,843.10 = 167,567.40/x
  3. Step 3: Cross multiply
    433,830.60x = 650,843.10 × 167,567.40
  4. Step 4: Simplify right side
    433,830.60x = 109,060,086,074.94
  5. Step 5: Solve for x
    x = 109,060,086,074.94/433,830.60
  6. Step 6: Final answer
    x = 251,388.64

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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.