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Finding the Fourth Proportional to 264,851.70, 397,277.55 and 264,851.70

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Solution

The fourth proportional to 264,851.70, 397,277.55 and 264,851.70 is: 397,277.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,851.70 : 397,277.55 = 264,851.70 : x
  2. Step 2: Convert to fraction form
    264,851.70/397,277.55 = 264,851.70/x
  3. Step 3: Cross multiply
    264,851.70x = 397,277.55 × 264,851.70
  4. Step 4: Simplify right side
    264,851.70x = 105,219,634,489.34
  5. Step 5: Solve for x
    x = 105,219,634,489.34/264,851.70
  6. Step 6: Final answer
    x = 397,277.55

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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.