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Finding the Fourth Proportional to 402,745.46, 603,719.08 and 189,130.98

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Solution

The fourth proportional to 402,745.46, 603,719.08 and 189,130.98 is: 283,509.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,745.46 : 603,719.08 = 189,130.98 : x
  2. Step 2: Convert to fraction form
    402,745.46/603,719.08 = 189,130.98/x
  3. Step 3: Cross multiply
    402,745.46x = 603,719.08 × 189,130.98
  4. Step 4: Simplify right side
    402,745.46x = 114,181,981,245.10
  5. Step 5: Solve for x
    x = 114,181,981,245.10/402,745.46
  6. Step 6: Final answer
    x = 283,509.05

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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.