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Finding the Fourth Proportional to 514,193.50, 771,290.25 and 218,705.50

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Solution

The fourth proportional to 514,193.50, 771,290.25 and 218,705.50 is: 328,058.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,193.50 : 771,290.25 = 218,705.50 : x
  2. Step 2: Convert to fraction form
    514,193.50/771,290.25 = 218,705.50/x
  3. Step 3: Cross multiply
    514,193.50x = 771,290.25 × 218,705.50
  4. Step 4: Simplify right side
    514,193.50x = 168,685,419,771.38
  5. Step 5: Solve for x
    x = 168,685,419,771.38/514,193.50
  6. Step 6: Final answer
    x = 328,058.25

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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.