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Finding the Fourth Proportional to 446,804.79, 616,594.74 and 242,856.15

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Solution

The fourth proportional to 446,804.79, 616,594.74 and 242,856.15 is: 335,143.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,804.79 : 616,594.74 = 242,856.15 : x
  2. Step 2: Convert to fraction form
    446,804.79/616,594.74 = 242,856.15/x
  3. Step 3: Cross multiply
    446,804.79x = 616,594.74 × 242,856.15
  4. Step 4: Simplify right side
    446,804.79x = 149,743,824,666.65
  5. Step 5: Solve for x
    x = 149,743,824,666.65/446,804.79
  6. Step 6: Final answer
    x = 335,143.73

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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.