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Finding the Fourth Proportional to 616,822.40, 925,298.40 and 196,000.40

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Solution

The fourth proportional to 616,822.40, 925,298.40 and 196,000.40 is: 294,021.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,822.40 : 925,298.40 = 196,000.40 : x
  2. Step 2: Convert to fraction form
    616,822.40/925,298.40 = 196,000.40/x
  3. Step 3: Cross multiply
    616,822.40x = 925,298.40 × 196,000.40
  4. Step 4: Simplify right side
    616,822.40x = 181,358,856,519.36
  5. Step 5: Solve for x
    x = 181,358,856,519.36/616,822.40
  6. Step 6: Final answer
    x = 294,021.19

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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.