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Finding the Fourth Proportional to 314,003.94, 471,007.24 and 97,865.42

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Solution

The fourth proportional to 314,003.94, 471,007.24 and 97,865.42 is: 146,798.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,003.94 : 471,007.24 = 97,865.42 : x
  2. Step 2: Convert to fraction form
    314,003.94/471,007.24 = 97,865.42/x
  3. Step 3: Cross multiply
    314,003.94x = 471,007.24 × 97,865.42
  4. Step 4: Simplify right side
    314,003.94x = 46,095,321,365.64
  5. Step 5: Solve for x
    x = 46,095,321,365.64/314,003.94
  6. Step 6: Final answer
    x = 146,798.54

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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.