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Finding the Fourth Proportional to 395,482.83, 545,766.13 and 214,194.77

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Solution

The fourth proportional to 395,482.83, 545,766.13 and 214,194.77 is: 295,588.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,482.83 : 545,766.13 = 214,194.77 : x
  2. Step 2: Convert to fraction form
    395,482.83/545,766.13 = 214,194.77/x
  3. Step 3: Cross multiply
    395,482.83x = 545,766.13 × 214,194.77
  4. Step 4: Simplify right side
    395,482.83x = 116,900,248,495.80
  5. Step 5: Solve for x
    x = 116,900,248,495.80/395,482.83
  6. Step 6: Final answer
    x = 295,588.69

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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.