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Finding the Fourth Proportional to 702,534.34, 1,052,952.84 and 342,165.07

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Solution

The fourth proportional to 702,534.34, 1,052,952.84 and 342,165.07 is: 512,834.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,534.34 : 1,052,952.84 = 342,165.07 : x
  2. Step 2: Convert to fraction form
    702,534.34/1,052,952.84 = 342,165.07/x
  3. Step 3: Cross multiply
    702,534.34x = 1,052,952.84 × 342,165.07
  4. Step 4: Simplify right side
    702,534.34x = 360,283,682,205.30
  5. Step 5: Solve for x
    x = 360,283,682,205.30/702,534.34
  6. Step 6: Final answer
    x = 512,834.27

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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.