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Finding the Fourth Proportional to 510,973.34, 766,788.06 and 342,683.70

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Solution

The fourth proportional to 510,973.34, 766,788.06 and 342,683.70 is: 514,245.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,973.34 : 766,788.06 = 342,683.70 : x
  2. Step 2: Convert to fraction form
    510,973.34/766,788.06 = 342,683.70/x
  3. Step 3: Cross multiply
    510,973.34x = 766,788.06 × 342,683.70
  4. Step 4: Simplify right side
    510,973.34x = 262,765,769,516.62
  5. Step 5: Solve for x
    x = 262,765,769,516.62/510,973.34
  6. Step 6: Final answer
    x = 514,245.56

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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.