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Finding the Fourth Proportional to 548,652.93, 822,808.56 and 193,583.76

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Solution

The fourth proportional to 548,652.93, 822,808.56 and 193,583.76 is: 290,315.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,652.93 : 822,808.56 = 193,583.76 : x
  2. Step 2: Convert to fraction form
    548,652.93/822,808.56 = 193,583.76/x
  3. Step 3: Cross multiply
    548,652.93x = 822,808.56 × 193,583.76
  4. Step 4: Simplify right side
    548,652.93x = 159,282,374,804.99
  5. Step 5: Solve for x
    x = 159,282,374,804.99/548,652.93
  6. Step 6: Final answer
    x = 290,315.36

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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.