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Finding the Fourth Proportional to 792,705, 1,189,181.34 and 260,104.86

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Solution

The fourth proportional to 792,705, 1,189,181.34 and 260,104.86 is: 390,197.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,705 : 1,189,181.34 = 260,104.86 : x
  2. Step 2: Convert to fraction form
    792,705/1,189,181.34 = 260,104.86/x
  3. Step 3: Cross multiply
    792,705x = 1,189,181.34 × 260,104.86
  4. Step 4: Simplify right side
    792,705x = 309,311,845,955.31
  5. Step 5: Solve for x
    x = 309,311,845,955.31/792,705
  6. Step 6: Final answer
    x = 390,197.92

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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.