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Finding the Fourth Proportional to 535,460.44, 802,097.16 and 298,929.12

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Solution

The fourth proportional to 535,460.44, 802,097.16 and 298,929.12 is: 447,783.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,460.44 : 802,097.16 = 298,929.12 : x
  2. Step 2: Convert to fraction form
    535,460.44/802,097.16 = 298,929.12/x
  3. Step 3: Cross multiply
    535,460.44x = 802,097.16 × 298,929.12
  4. Step 4: Simplify right side
    535,460.44x = 239,770,198,193.30
  5. Step 5: Solve for x
    x = 239,770,198,193.30/535,460.44
  6. Step 6: Final answer
    x = 447,783.22

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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.