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Finding the Fourth Proportional to 306,624, 459,936 and 85,008

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Solution

The fourth proportional to 306,624, 459,936 and 85,008 is: 127,512

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,624 : 459,936 = 85,008 : x
  2. Step 2: Convert to fraction form
    306,624/459,936 = 85,008/x
  3. Step 3: Cross multiply
    306,624x = 459,936 × 85,008
  4. Step 4: Simplify right side
    306,624x = 39,098,239,488
  5. Step 5: Solve for x
    x = 39,098,239,488/306,624
  6. Step 6: Final answer
    x = 127,512

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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.