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Finding the Fourth Proportional to 448,739.16, 673,018.20 and 164,332.63

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Solution

The fourth proportional to 448,739.16, 673,018.20 and 164,332.63 is: 246,465.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,739.16 : 673,018.20 = 164,332.63 : x
  2. Step 2: Convert to fraction form
    448,739.16/673,018.20 = 164,332.63/x
  3. Step 3: Cross multiply
    448,739.16x = 673,018.20 × 164,332.63
  4. Step 4: Simplify right side
    448,739.16x = 110,598,847,478.78
  5. Step 5: Solve for x
    x = 110,598,847,478.78/448,739.16
  6. Step 6: Final answer
    x = 246,465.78

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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.