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Finding the Fourth Proportional to 362,006.40, 499,441.78 and 209,040.24

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Solution

The fourth proportional to 362,006.40, 499,441.78 and 209,040.24 is: 288,402.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,006.40 : 499,441.78 = 209,040.24 : x
  2. Step 2: Convert to fraction form
    362,006.40/499,441.78 = 209,040.24/x
  3. Step 3: Cross multiply
    362,006.40x = 499,441.78 × 209,040.24
  4. Step 4: Simplify right side
    362,006.40x = 104,403,429,557.23
  5. Step 5: Solve for x
    x = 104,403,429,557.23/362,006.40
  6. Step 6: Final answer
    x = 288,402.17

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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.