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Finding the Fourth Proportional to 652,096.10, 978,144.15 and 596,108.90

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Solution

The fourth proportional to 652,096.10, 978,144.15 and 596,108.90 is: 894,163.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,096.10 : 978,144.15 = 596,108.90 : x
  2. Step 2: Convert to fraction form
    652,096.10/978,144.15 = 596,108.90/x
  3. Step 3: Cross multiply
    652,096.10x = 978,144.15 × 596,108.90
  4. Step 4: Simplify right side
    652,096.10x = 583,080,433,297.94
  5. Step 5: Solve for x
    x = 583,080,433,297.94/652,096.10
  6. Step 6: Final answer
    x = 894,163.35

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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.