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Finding the Fourth Proportional to 446,461.38, 616,123.32 and 242,516.28

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Solution

The fourth proportional to 446,461.38, 616,123.32 and 242,516.28 is: 334,676.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,461.38 : 616,123.32 = 242,516.28 : x
  2. Step 2: Convert to fraction form
    446,461.38/616,123.32 = 242,516.28/x
  3. Step 3: Cross multiply
    446,461.38x = 616,123.32 × 242,516.28
  4. Step 4: Simplify right side
    446,461.38x = 149,419,935,587.65
  5. Step 5: Solve for x
    x = 149,419,935,587.65/446,461.38
  6. Step 6: Final answer
    x = 334,676.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.