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Finding the Fourth Proportional to 316,431.36, 474,316.56 and 190,071.36

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Solution

The fourth proportional to 316,431.36, 474,316.56 and 190,071.36 is: 284,908.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,431.36 : 474,316.56 = 190,071.36 : x
  2. Step 2: Convert to fraction form
    316,431.36/474,316.56 = 190,071.36/x
  3. Step 3: Cross multiply
    316,431.36x = 474,316.56 × 190,071.36
  4. Step 4: Simplify right side
    316,431.36x = 90,153,993,629.72
  5. Step 5: Solve for x
    x = 90,153,993,629.72/316,431.36
  6. Step 6: Final answer
    x = 284,908.53

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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.