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Finding the Fourth Proportional to 316,851.36, 475,383.06 and 103,629.12

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Solution

The fourth proportional to 316,851.36, 475,383.06 and 103,629.12 is: 155,478.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,851.36 : 475,383.06 = 103,629.12 : x
  2. Step 2: Convert to fraction form
    316,851.36/475,383.06 = 103,629.12/x
  3. Step 3: Cross multiply
    316,851.36x = 475,383.06 × 103,629.12
  4. Step 4: Simplify right side
    316,851.36x = 49,263,528,170.71
  5. Step 5: Solve for x
    x = 49,263,528,170.71/316,851.36
  6. Step 6: Final answer
    x = 155,478.35

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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.