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Finding the Fourth Proportional to 395,487.96, 545,773.95 and 214,200.24

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Solution

The fourth proportional to 395,487.96, 545,773.95 and 214,200.24 is: 295,596.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,487.96 : 545,773.95 = 214,200.24 : x
  2. Step 2: Convert to fraction form
    395,487.96/545,773.95 = 214,200.24/x
  3. Step 3: Cross multiply
    395,487.96x = 545,773.95 × 214,200.24
  4. Step 4: Simplify right side
    395,487.96x = 116,904,911,075.75
  5. Step 5: Solve for x
    x = 116,904,911,075.75/395,487.96
  6. Step 6: Final answer
    x = 295,596.64

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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.