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Finding the Fourth Proportional to 362,082, 499,673.16 and 220,770

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Solution

The fourth proportional to 362,082, 499,673.16 and 220,770 is: 304,662.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,082 : 499,673.16 = 220,770 : x
  2. Step 2: Convert to fraction form
    362,082/499,673.16 = 220,770/x
  3. Step 3: Cross multiply
    362,082x = 499,673.16 × 220,770
  4. Step 4: Simplify right side
    362,082x = 110,312,843,533.20
  5. Step 5: Solve for x
    x = 110,312,843,533.20/362,082
  6. Step 6: Final answer
    x = 304,662.60

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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.