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Finding the Fourth Proportional to 354,606.40, 489,678.78 and 263,929.24

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Solution

The fourth proportional to 354,606.40, 489,678.78 and 263,929.24 is: 364,461.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,606.40 : 489,678.78 = 263,929.24 : x
  2. Step 2: Convert to fraction form
    354,606.40/489,678.78 = 263,929.24/x
  3. Step 3: Cross multiply
    354,606.40x = 489,678.78 × 263,929.24
  4. Step 4: Simplify right side
    354,606.40x = 129,240,548,249.53
  5. Step 5: Solve for x
    x = 129,240,548,249.53/354,606.40
  6. Step 6: Final answer
    x = 364,461.97

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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.