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Finding the Fourth Proportional to 464,989.86, 697,790.97 and 254,775.42

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Solution

The fourth proportional to 464,989.86, 697,790.97 and 254,775.42 is: 382,330.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,989.86 : 697,790.97 = 254,775.42 : x
  2. Step 2: Convert to fraction form
    464,989.86/697,790.97 = 254,775.42/x
  3. Step 3: Cross multiply
    464,989.86x = 697,790.97 × 254,775.42
  4. Step 4: Simplify right side
    464,989.86x = 177,779,987,453.96
  5. Step 5: Solve for x
    x = 177,779,987,453.96/464,989.86
  6. Step 6: Final answer
    x = 382,330.89

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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.