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Finding the Fourth Proportional to 380,492.31, 570,825.93 and 114,257.86

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Solution

The fourth proportional to 380,492.31, 570,825.93 and 114,257.86 is: 171,413.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,492.31 : 570,825.93 = 114,257.86 : x
  2. Step 2: Convert to fraction form
    380,492.31/570,825.93 = 114,257.86/x
  3. Step 3: Cross multiply
    380,492.31x = 570,825.93 × 114,257.86
  4. Step 4: Simplify right side
    380,492.31x = 65,221,349,194.31
  5. Step 5: Solve for x
    x = 65,221,349,194.31/380,492.31
  6. Step 6: Final answer
    x = 171,413.05

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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.