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Finding the Fourth Proportional to 345,949.32, 477,399.23 and 202,804.70

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Solution

The fourth proportional to 345,949.32, 477,399.23 and 202,804.70 is: 279,864.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,949.32 : 477,399.23 = 202,804.70 : x
  2. Step 2: Convert to fraction form
    345,949.32/477,399.23 = 202,804.70/x
  3. Step 3: Cross multiply
    345,949.32x = 477,399.23 × 202,804.70
  4. Step 4: Simplify right side
    345,949.32x = 96,818,807,620.38
  5. Step 5: Solve for x
    x = 96,818,807,620.38/345,949.32
  6. Step 6: Final answer
    x = 279,864.14

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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.