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Finding the Fourth Proportional to 395,883.94, 546,317.85 and 214,595.14

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Solution

The fourth proportional to 395,883.94, 546,317.85 and 214,595.14 is: 296,140.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,883.94 : 546,317.85 = 214,595.14 : x
  2. Step 2: Convert to fraction form
    395,883.94/546,317.85 = 214,595.14/x
  3. Step 3: Cross multiply
    395,883.94x = 546,317.85 × 214,595.14
  4. Step 4: Simplify right side
    395,883.94x = 117,237,155,505.25
  5. Step 5: Solve for x
    x = 117,237,155,505.25/395,883.94
  6. Step 6: Final answer
    x = 296,140.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.