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Finding the Fourth Proportional to 263,798.58, 395,373.01 and 150,041.77

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Solution

The fourth proportional to 263,798.58, 395,373.01 and 150,041.77 is: 224,877.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,798.58 : 395,373.01 = 150,041.77 : x
  2. Step 2: Convert to fraction form
    263,798.58/395,373.01 = 150,041.77/x
  3. Step 3: Cross multiply
    263,798.58x = 395,373.01 × 150,041.77
  4. Step 4: Simplify right side
    263,798.58x = 59,322,466,230.63
  5. Step 5: Solve for x
    x = 59,322,466,230.63/263,798.58
  6. Step 6: Final answer
    x = 224,877.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.