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Finding the Fourth Proportional to 501,705.09, 752,779.98 and 202,769.73

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Solution

The fourth proportional to 501,705.09, 752,779.98 and 202,769.73 is: 304,244.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,705.09 : 752,779.98 = 202,769.73 : x
  2. Step 2: Convert to fraction form
    501,705.09/752,779.98 = 202,769.73/x
  3. Step 3: Cross multiply
    501,705.09x = 752,779.98 × 202,769.73
  4. Step 4: Simplify right side
    501,705.09x = 152,640,993,294.01
  5. Step 5: Solve for x
    x = 152,640,993,294.01/501,705.09
  6. Step 6: Final answer
    x = 304,244.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.