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Finding the Fourth Proportional to 561,758.28, 842,762.29 and 262,075.38

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Solution

The fourth proportional to 561,758.28, 842,762.29 and 262,075.38 is: 393,171.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,758.28 : 842,762.29 = 262,075.38 : x
  2. Step 2: Convert to fraction form
    561,758.28/842,762.29 = 262,075.38/x
  3. Step 3: Cross multiply
    561,758.28x = 842,762.29 × 262,075.38
  4. Step 4: Simplify right side
    561,758.28x = 220,867,245,262.40
  5. Step 5: Solve for x
    x = 220,867,245,262.40/561,758.28
  6. Step 6: Final answer
    x = 393,171.32

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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.