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Finding the Fourth Proportional to 401,148.28, 601,717.82 and 97,544.16

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Solution

The fourth proportional to 401,148.28, 601,717.82 and 97,544.16 is: 146,315.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,148.28 : 601,717.82 = 97,544.16 : x
  2. Step 2: Convert to fraction form
    401,148.28/601,717.82 = 97,544.16/x
  3. Step 3: Cross multiply
    401,148.28x = 601,717.82 × 97,544.16
  4. Step 4: Simplify right side
    401,148.28x = 58,694,059,308.93
  5. Step 5: Solve for x
    x = 58,694,059,308.93/401,148.28
  6. Step 6: Final answer
    x = 146,315.12

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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.