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Finding the Fourth Proportional to 321,984.96, 482,349.12 and 210,840

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Solution

The fourth proportional to 321,984.96, 482,349.12 and 210,840 is: 315,848.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,984.96 : 482,349.12 = 210,840 : x
  2. Step 2: Convert to fraction form
    321,984.96/482,349.12 = 210,840/x
  3. Step 3: Cross multiply
    321,984.96x = 482,349.12 × 210,840
  4. Step 4: Simplify right side
    321,984.96x = 101,698,488,460.80
  5. Step 5: Solve for x
    x = 101,698,488,460.80/321,984.96
  6. Step 6: Final answer
    x = 315,848.57

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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.