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Finding the Fourth Proportional to 433,846.60, 650,867.10 and 167,583.40

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Solution

The fourth proportional to 433,846.60, 650,867.10 and 167,583.40 is: 251,412.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,846.60 : 650,867.10 = 167,583.40 : x
  2. Step 2: Convert to fraction form
    433,846.60/650,867.10 = 167,583.40/x
  3. Step 3: Cross multiply
    433,846.60x = 650,867.10 × 167,583.40
  4. Step 4: Simplify right side
    433,846.60x = 109,074,521,566.14
  5. Step 5: Solve for x
    x = 109,074,521,566.14/433,846.60
  6. Step 6: Final answer
    x = 251,412.65

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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.