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Finding the Fourth Proportional to 686,525.10, 1,030,954.05 and 509,232.30

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Solution

The fourth proportional to 686,525.10, 1,030,954.05 and 509,232.30 is: 764,713.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,525.10 : 1,030,954.05 = 509,232.30 : x
  2. Step 2: Convert to fraction form
    686,525.10/1,030,954.05 = 509,232.30/x
  3. Step 3: Cross multiply
    686,525.10x = 1,030,954.05 × 509,232.30
  4. Step 4: Simplify right side
    686,525.10x = 524,995,102,075.82
  5. Step 5: Solve for x
    x = 524,995,102,075.82/686,525.10
  6. Step 6: Final answer
    x = 764,713.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.