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Finding the Fourth Proportional to 539,821.80, 809,732.70 and 184,804.20

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Solution

The fourth proportional to 539,821.80, 809,732.70 and 184,804.20 is: 277,206.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,821.80 : 809,732.70 = 184,804.20 : x
  2. Step 2: Convert to fraction form
    539,821.80/809,732.70 = 184,804.20/x
  3. Step 3: Cross multiply
    539,821.80x = 809,732.70 × 184,804.20
  4. Step 4: Simplify right side
    539,821.80x = 149,642,003,837.34
  5. Step 5: Solve for x
    x = 149,642,003,837.34/539,821.80
  6. Step 6: Final answer
    x = 277,206.30

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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.