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Finding the Fourth Proportional to 364,317, 546,511.96 and 111,594.57

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Solution

The fourth proportional to 364,317, 546,511.96 and 111,594.57 is: 167,403.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,317 : 546,511.96 = 111,594.57 : x
  2. Step 2: Convert to fraction form
    364,317/546,511.96 = 111,594.57/x
  3. Step 3: Cross multiply
    364,317x = 546,511.96 × 111,594.57
  4. Step 4: Simplify right side
    364,317x = 60,987,766,897.07
  5. Step 5: Solve for x
    x = 60,987,766,897.07/364,317
  6. Step 6: Final answer
    x = 167,403.02

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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.