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Finding the Fourth Proportional to 565,295.58, 780,105.60 and 323,577

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Solution

The fourth proportional to 565,295.58, 780,105.60 and 323,577 is: 446,534.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,295.58 : 780,105.60 = 323,577 : x
  2. Step 2: Convert to fraction form
    565,295.58/780,105.60 = 323,577/x
  3. Step 3: Cross multiply
    565,295.58x = 780,105.60 × 323,577
  4. Step 4: Simplify right side
    565,295.58x = 252,424,229,731.20
  5. Step 5: Solve for x
    x = 252,424,229,731.20/565,295.58
  6. Step 6: Final answer
    x = 446,534.94

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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.