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Finding the Fourth Proportional to 792,694, 1,189,164.80 and 260,093.89

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Solution

The fourth proportional to 792,694, 1,189,164.80 and 260,093.89 is: 390,181.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,694 : 1,189,164.80 = 260,093.89 : x
  2. Step 2: Convert to fraction form
    792,694/1,189,164.80 = 260,093.89/x
  3. Step 3: Cross multiply
    792,694x = 1,189,164.80 × 260,093.89
  4. Step 4: Simplify right side
    792,694x = 309,294,498,683.07
  5. Step 5: Solve for x
    x = 309,294,498,683.07/792,694
  6. Step 6: Final answer
    x = 390,181.46

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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.