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Finding the Fourth Proportional to 299,564.16, 413,398.72 and 163,600

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Solution

The fourth proportional to 299,564.16, 413,398.72 and 163,600 is: 225,768.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,564.16 : 413,398.72 = 163,600 : x
  2. Step 2: Convert to fraction form
    299,564.16/413,398.72 = 163,600/x
  3. Step 3: Cross multiply
    299,564.16x = 413,398.72 × 163,600
  4. Step 4: Simplify right side
    299,564.16x = 67,632,030,592.00
  5. Step 5: Solve for x
    x = 67,632,030,592.00/299,564.16
  6. Step 6: Final answer
    x = 225,768.10

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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.