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Finding the Fourth Proportional to 299,968.48, 414,038.64 and 186,724

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Solution

The fourth proportional to 299,968.48, 414,038.64 and 186,724 is: 257,730.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,968.48 : 414,038.64 = 186,724 : x
  2. Step 2: Convert to fraction form
    299,968.48/414,038.64 = 186,724/x
  3. Step 3: Cross multiply
    299,968.48x = 414,038.64 × 186,724
  4. Step 4: Simplify right side
    299,968.48x = 77,310,951,015.36
  5. Step 5: Solve for x
    x = 77,310,951,015.36/299,968.48
  6. Step 6: Final answer
    x = 257,730.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.