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Finding the Fourth Proportional to 477,768.56, 659,312.25 and 259,969.88

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Solution

The fourth proportional to 477,768.56, 659,312.25 and 259,969.88 is: 358,753.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,768.56 : 659,312.25 = 259,969.88 : x
  2. Step 2: Convert to fraction form
    477,768.56/659,312.25 = 259,969.88/x
  3. Step 3: Cross multiply
    477,768.56x = 659,312.25 × 259,969.88
  4. Step 4: Simplify right side
    477,768.56x = 171,401,326,515.03
  5. Step 5: Solve for x
    x = 171,401,326,515.03/477,768.56
  6. Step 6: Final answer
    x = 358,753.88

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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.