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Finding the Fourth Proportional to 362,140.82, 499,806.40 and 216,952.82

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Solution

The fourth proportional to 362,140.82, 499,806.40 and 216,952.82 is: 299,426.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,140.82 : 499,806.40 = 216,952.82 : x
  2. Step 2: Convert to fraction form
    362,140.82/499,806.40 = 216,952.82/x
  3. Step 3: Cross multiply
    362,140.82x = 499,806.40 × 216,952.82
  4. Step 4: Simplify right side
    362,140.82x = 108,434,405,977.40
  5. Step 5: Solve for x
    x = 108,434,405,977.40/362,140.82
  6. Step 6: Final answer
    x = 299,426.08

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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.