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Finding the Fourth Proportional to 464,195.36, 696,341.52 and 197,984

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Solution

The fourth proportional to 464,195.36, 696,341.52 and 197,984 is: 296,996.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,195.36 : 696,341.52 = 197,984 : x
  2. Step 2: Convert to fraction form
    464,195.36/696,341.52 = 197,984/x
  3. Step 3: Cross multiply
    464,195.36x = 696,341.52 × 197,984
  4. Step 4: Simplify right side
    464,195.36x = 137,864,479,495.68
  5. Step 5: Solve for x
    x = 137,864,479,495.68/464,195.36
  6. Step 6: Final answer
    x = 296,996.68

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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.