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Finding the Fourth Proportional to 524,698.97, 786,648.42 and 164,662.16

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Solution

The fourth proportional to 524,698.97, 786,648.42 and 164,662.16 is: 246,867.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,698.97 : 786,648.42 = 164,662.16 : x
  2. Step 2: Convert to fraction form
    524,698.97/786,648.42 = 164,662.16/x
  3. Step 3: Cross multiply
    524,698.97x = 786,648.42 × 164,662.16
  4. Step 4: Simplify right side
    524,698.97x = 129,531,224,064.55
  5. Step 5: Solve for x
    x = 129,531,224,064.55/524,698.97
  6. Step 6: Final answer
    x = 246,867.70

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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.