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Finding the Fourth Proportional to 575,212.80, 862,743.60 and 175,893.60

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Solution

The fourth proportional to 575,212.80, 862,743.60 and 175,893.60 is: 263,817.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,212.80 : 862,743.60 = 175,893.60 : x
  2. Step 2: Convert to fraction form
    575,212.80/862,743.60 = 175,893.60/x
  3. Step 3: Cross multiply
    575,212.80x = 862,743.60 × 175,893.60
  4. Step 4: Simplify right side
    575,212.80x = 151,751,077,680.96
  5. Step 5: Solve for x
    x = 151,751,077,680.96/575,212.80
  6. Step 6: Final answer
    x = 263,817.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.