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Finding the Fourth Proportional to 364,511.68, 546,704.48 and 164,785.62

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Solution

The fourth proportional to 364,511.68, 546,704.48 and 164,785.62 is: 247,149.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,511.68 : 546,704.48 = 164,785.62 : x
  2. Step 2: Convert to fraction form
    364,511.68/546,704.48 = 164,785.62/x
  3. Step 3: Cross multiply
    364,511.68x = 546,704.48 × 164,785.62
  4. Step 4: Simplify right side
    364,511.68x = 90,089,036,693.58
  5. Step 5: Solve for x
    x = 90,089,036,693.58/364,511.68
  6. Step 6: Final answer
    x = 247,149.93

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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.