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Finding the Fourth Proportional to 443,141.64, 664,800.12 and 162,661.32

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Solution

The fourth proportional to 443,141.64, 664,800.12 and 162,661.32 is: 244,024.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,141.64 : 664,800.12 = 162,661.32 : x
  2. Step 2: Convert to fraction form
    443,141.64/664,800.12 = 162,661.32/x
  3. Step 3: Cross multiply
    443,141.64x = 664,800.12 × 162,661.32
  4. Step 4: Simplify right side
    443,141.64x = 108,137,265,055.36
  5. Step 5: Solve for x
    x = 108,137,265,055.36/443,141.64
  6. Step 6: Final answer
    x = 244,024.16

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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.