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Finding the Fourth Proportional to 463,210.39, 694,871.63 and 163,629.67

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Solution

The fourth proportional to 463,210.39, 694,871.63 and 163,629.67 is: 245,464.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,210.39 : 694,871.63 = 163,629.67 : x
  2. Step 2: Convert to fraction form
    463,210.39/694,871.63 = 163,629.67/x
  3. Step 3: Cross multiply
    463,210.39x = 694,871.63 × 163,629.67
  4. Step 4: Simplify right side
    463,210.39x = 113,701,615,509.26
  5. Step 5: Solve for x
    x = 113,701,615,509.26/463,210.39
  6. Step 6: Final answer
    x = 245,464.30

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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.