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Finding the Fourth Proportional to 477,809.56, 659,362.80 and 262,949.32

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Solution

The fourth proportional to 477,809.56, 659,362.80 and 262,949.32 is: 362,862.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,809.56 : 659,362.80 = 262,949.32 : x
  2. Step 2: Convert to fraction form
    477,809.56/659,362.80 = 262,949.32/x
  3. Step 3: Cross multiply
    477,809.56x = 659,362.80 × 262,949.32
  4. Step 4: Simplify right side
    477,809.56x = 173,378,999,893.30
  5. Step 5: Solve for x
    x = 173,378,999,893.30/477,809.56
  6. Step 6: Final answer
    x = 362,862.14

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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.