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Finding the Fourth Proportional to 395,088.63, 545,218.16 and 213,796.59

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Solution

The fourth proportional to 395,088.63, 545,218.16 and 213,796.59 is: 295,037.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,088.63 : 545,218.16 = 213,796.59 : x
  2. Step 2: Convert to fraction form
    395,088.63/545,218.16 = 213,796.59/x
  3. Step 3: Cross multiply
    395,088.63x = 545,218.16 × 213,796.59
  4. Step 4: Simplify right side
    395,088.63x = 116,565,782,345.09
  5. Step 5: Solve for x
    x = 116,565,782,345.09/395,088.63
  6. Step 6: Final answer
    x = 295,037.05

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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.