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Finding the Fourth Proportional to 298,967.23, 448,508.59 and 96,617.79

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Solution

The fourth proportional to 298,967.23, 448,508.59 and 96,617.79 is: 144,945.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,967.23 : 448,508.59 = 96,617.79 : x
  2. Step 2: Convert to fraction form
    298,967.23/448,508.59 = 96,617.79/x
  3. Step 3: Cross multiply
    298,967.23x = 448,508.59 × 96,617.79
  4. Step 4: Simplify right side
    298,967.23x = 43,333,907,802.32
  5. Step 5: Solve for x
    x = 43,333,907,802.32/298,967.23
  6. Step 6: Final answer
    x = 144,945.34

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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.