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Finding the Fourth Proportional to 561,634.98, 842,600.02 and 201,842.16

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Solution

The fourth proportional to 561,634.98, 842,600.02 and 201,842.16 is: 302,816.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,634.98 : 842,600.02 = 201,842.16 : x
  2. Step 2: Convert to fraction form
    561,634.98/842,600.02 = 201,842.16/x
  3. Step 3: Cross multiply
    561,634.98x = 842,600.02 × 201,842.16
  4. Step 4: Simplify right side
    561,634.98x = 170,072,208,052.84
  5. Step 5: Solve for x
    x = 170,072,208,052.84/561,634.98
  6. Step 6: Final answer
    x = 302,816.27

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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.