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Finding the Fourth Proportional to 575,643.36, 862,942.32 and 201,462.24

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Solution

The fourth proportional to 575,643.36, 862,942.32 and 201,462.24 is: 302,010.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,643.36 : 862,942.32 = 201,462.24 : x
  2. Step 2: Convert to fraction form
    575,643.36/862,942.32 = 201,462.24/x
  3. Step 3: Cross multiply
    575,643.36x = 862,942.32 × 201,462.24
  4. Step 4: Simplify right side
    575,643.36x = 173,850,292,778.00
  5. Step 5: Solve for x
    x = 173,850,292,778.00/575,643.36
  6. Step 6: Final answer
    x = 302,010.42

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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.