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Finding the Fourth Proportional to 585,153.50, 807,283.21 and 340,097.54

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Solution

The fourth proportional to 585,153.50, 807,283.21 and 340,097.54 is: 469,201.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,153.50 : 807,283.21 = 340,097.54 : x
  2. Step 2: Convert to fraction form
    585,153.50/807,283.21 = 340,097.54/x
  3. Step 3: Cross multiply
    585,153.50x = 807,283.21 × 340,097.54
  4. Step 4: Simplify right side
    585,153.50x = 274,555,033,804.30
  5. Step 5: Solve for x
    x = 274,555,033,804.30/585,153.50
  6. Step 6: Final answer
    x = 469,201.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.