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Finding the Fourth Proportional to 463,434.22, 695,163.48 and 147,890.83

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Solution

The fourth proportional to 463,434.22, 695,163.48 and 147,890.83 is: 221,840.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,434.22 : 695,163.48 = 147,890.83 : x
  2. Step 2: Convert to fraction form
    463,434.22/695,163.48 = 147,890.83/x
  3. Step 3: Cross multiply
    463,434.22x = 695,163.48 × 147,890.83
  4. Step 4: Simplify right side
    463,434.22x = 102,808,304,042.89
  5. Step 5: Solve for x
    x = 102,808,304,042.89/463,434.22
  6. Step 6: Final answer
    x = 221,840.12

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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.