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Finding the Fourth Proportional to 395,616.60, 545,950.29 and 214,333.14

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Solution

The fourth proportional to 395,616.60, 545,950.29 and 214,333.14 is: 295,779.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,616.60 : 545,950.29 = 214,333.14 : x
  2. Step 2: Convert to fraction form
    395,616.60/545,950.29 = 214,333.14/x
  3. Step 3: Cross multiply
    395,616.60x = 545,950.29 × 214,333.14
  4. Step 4: Simplify right side
    395,616.60x = 117,015,239,939.61
  5. Step 5: Solve for x
    x = 117,015,239,939.61/395,616.60
  6. Step 6: Final answer
    x = 295,779.40

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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.