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Finding the Fourth Proportional to 605,070.54, 907,647.39 and 200,262.06

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Solution

The fourth proportional to 605,070.54, 907,647.39 and 200,262.06 is: 300,406.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,070.54 : 907,647.39 = 200,262.06 : x
  2. Step 2: Convert to fraction form
    605,070.54/907,647.39 = 200,262.06/x
  3. Step 3: Cross multiply
    605,070.54x = 907,647.39 × 200,262.06
  4. Step 4: Simplify right side
    605,070.54x = 181,767,336,075.02
  5. Step 5: Solve for x
    x = 181,767,336,075.02/605,070.54
  6. Step 6: Final answer
    x = 300,406.85

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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.