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Finding the Fourth Proportional to 686,075.01, 946,782.58 and 380,171.20

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Solution

The fourth proportional to 686,075.01, 946,782.58 and 380,171.20 is: 524,635.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,075.01 : 946,782.58 = 380,171.20 : x
  2. Step 2: Convert to fraction form
    686,075.01/946,782.58 = 380,171.20/x
  3. Step 3: Cross multiply
    686,075.01x = 946,782.58 × 380,171.20
  4. Step 4: Simplify right side
    686,075.01x = 359,939,462,942.93
  5. Step 5: Solve for x
    x = 359,939,462,942.93/686,075.01
  6. Step 6: Final answer
    x = 524,635.73

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