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Finding the Fourth Proportional to 561,514.96, 774,890.94 and 306,866.11

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Solution

The fourth proportional to 561,514.96, 774,890.94 and 306,866.11 is: 423,475.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,514.96 : 774,890.94 = 306,866.11 : x
  2. Step 2: Convert to fraction form
    561,514.96/774,890.94 = 306,866.11/x
  3. Step 3: Cross multiply
    561,514.96x = 774,890.94 × 306,866.11
  4. Step 4: Simplify right side
    561,514.96x = 237,787,768,432.04
  5. Step 5: Solve for x
    x = 237,787,768,432.04/561,514.96
  6. Step 6: Final answer
    x = 423,475.39

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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.