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Finding the Fourth Proportional to 364,512.18, 546,705.22 and 164,786.11

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Solution

The fourth proportional to 364,512.18, 546,705.22 and 164,786.11 is: 247,150.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,512.18 : 546,705.22 = 164,786.11 : x
  2. Step 2: Convert to fraction form
    364,512.18/546,705.22 = 164,786.11/x
  3. Step 3: Cross multiply
    364,512.18x = 546,705.22 × 164,786.11
  4. Step 4: Simplify right side
    364,512.18x = 90,089,426,108.53
  5. Step 5: Solve for x
    x = 90,089,426,108.53/364,512.18
  6. Step 6: Final answer
    x = 247,150.66

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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.