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Finding the Fourth Proportional to 395,598.62, 545,923.85 and 214,314.08

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Solution

The fourth proportional to 395,598.62, 545,923.85 and 214,314.08 is: 295,752.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,598.62 : 545,923.85 = 214,314.08 : x
  2. Step 2: Convert to fraction form
    395,598.62/545,923.85 = 214,314.08/x
  3. Step 3: Cross multiply
    395,598.62x = 545,923.85 × 214,314.08
  4. Step 4: Simplify right side
    395,598.62x = 116,999,163,861.62
  5. Step 5: Solve for x
    x = 116,999,163,861.62/395,598.62
  6. Step 6: Final answer
    x = 295,752.21

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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.