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Finding the Fourth Proportional to 362,723.22, 500,518.19 and 209,738.22

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Solution

The fourth proportional to 362,723.22, 500,518.19 and 209,738.22 is: 289,415.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,723.22 : 500,518.19 = 209,738.22 : x
  2. Step 2: Convert to fraction form
    362,723.22/500,518.19 = 209,738.22/x
  3. Step 3: Cross multiply
    362,723.22x = 500,518.19 × 209,738.22
  4. Step 4: Simplify right side
    362,723.22x = 104,977,793,199.53
  5. Step 5: Solve for x
    x = 104,977,793,199.53/362,723.22
  6. Step 6: Final answer
    x = 289,415.70

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