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Finding the Fourth Proportional to 401,302.16, 601,947.16 and 97,698.56

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Solution

The fourth proportional to 401,302.16, 601,947.16 and 97,698.56 is: 146,546.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,302.16 : 601,947.16 = 97,698.56 : x
  2. Step 2: Convert to fraction form
    401,302.16/601,947.16 = 97,698.56/x
  3. Step 3: Cross multiply
    401,302.16x = 601,947.16 × 97,698.56
  4. Step 4: Simplify right side
    401,302.16x = 58,809,370,728.09
  5. Step 5: Solve for x
    x = 58,809,370,728.09/401,302.16
  6. Step 6: Final answer
    x = 146,546.36

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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.