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Finding the Fourth Proportional to 311,952.72, 430,495.05 and 168,712.76

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Solution

The fourth proportional to 311,952.72, 430,495.05 and 168,712.76 is: 232,823.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,952.72 : 430,495.05 = 168,712.76 : x
  2. Step 2: Convert to fraction form
    311,952.72/430,495.05 = 168,712.76/x
  3. Step 3: Cross multiply
    311,952.72x = 430,495.05 × 168,712.76
  4. Step 4: Simplify right side
    311,952.72x = 72,630,008,051.84
  5. Step 5: Solve for x
    x = 72,630,008,051.84/311,952.72
  6. Step 6: Final answer
    x = 232,823.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.