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Finding the Fourth Proportional to 354,212.40, 531,318.60 and 319,220.40

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Solution

The fourth proportional to 354,212.40, 531,318.60 and 319,220.40 is: 478,830.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,212.40 : 531,318.60 = 319,220.40 : x
  2. Step 2: Convert to fraction form
    354,212.40/531,318.60 = 319,220.40/x
  3. Step 3: Cross multiply
    354,212.40x = 531,318.60 × 319,220.40
  4. Step 4: Simplify right side
    354,212.40x = 169,607,736,019.44
  5. Step 5: Solve for x
    x = 169,607,736,019.44/354,212.40
  6. Step 6: Final answer
    x = 478,830.60

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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.