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Finding the Fourth Proportional to 367,804.80, 507,539.52 and 206,647.20

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Solution

The fourth proportional to 367,804.80, 507,539.52 and 206,647.20 is: 285,155.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,804.80 : 507,539.52 = 206,647.20 : x
  2. Step 2: Convert to fraction form
    367,804.80/507,539.52 = 206,647.20/x
  3. Step 3: Cross multiply
    367,804.80x = 507,539.52 × 206,647.20
  4. Step 4: Simplify right side
    367,804.80x = 104,881,620,697.34
  5. Step 5: Solve for x
    x = 104,881,620,697.34/367,804.80
  6. Step 6: Final answer
    x = 285,155.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.