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Finding the Fourth Proportional to 422,606.96, 633,929.88 and 173,114

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Solution

The fourth proportional to 422,606.96, 633,929.88 and 173,114 is: 259,678.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,606.96 : 633,929.88 = 173,114 : x
  2. Step 2: Convert to fraction form
    422,606.96/633,929.88 = 173,114/x
  3. Step 3: Cross multiply
    422,606.96x = 633,929.88 × 173,114
  4. Step 4: Simplify right side
    422,606.96x = 109,742,137,246.32
  5. Step 5: Solve for x
    x = 109,742,137,246.32/422,606.96
  6. Step 6: Final answer
    x = 259,678.96

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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.