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Finding the Fourth Proportional to 561,461.94, 841,942.67 and 162,007.83

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Solution

The fourth proportional to 561,461.94, 841,942.67 and 162,007.83 is: 242,939.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,461.94 : 841,942.67 = 162,007.83 : x
  2. Step 2: Convert to fraction form
    561,461.94/841,942.67 = 162,007.83/x
  3. Step 3: Cross multiply
    561,461.94x = 841,942.67 × 162,007.83
  4. Step 4: Simplify right side
    561,461.94x = 136,401,304,141.07
  5. Step 5: Solve for x
    x = 136,401,304,141.07/561,461.94
  6. Step 6: Final answer
    x = 242,939.54

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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.