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Finding the Fourth Proportional to 420,293.84, 630,743.60 and 167,427.96

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Solution

The fourth proportional to 420,293.84, 630,743.60 and 167,427.96 is: 251,262.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,293.84 : 630,743.60 = 167,427.96 : x
  2. Step 2: Convert to fraction form
    420,293.84/630,743.60 = 167,427.96/x
  3. Step 3: Cross multiply
    420,293.84x = 630,743.60 × 167,427.96
  4. Step 4: Simplify right side
    420,293.84x = 105,604,114,231.06
  5. Step 5: Solve for x
    x = 105,604,114,231.06/420,293.84
  6. Step 6: Final answer
    x = 251,262.58

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