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Finding the Fourth Proportional to 470,194.38, 648,872.91 and 255,336.30

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Solution

The fourth proportional to 470,194.38, 648,872.91 and 255,336.30 is: 352,366.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,194.38 : 648,872.91 = 255,336.30 : x
  2. Step 2: Convert to fraction form
    470,194.38/648,872.91 = 255,336.30/x
  3. Step 3: Cross multiply
    470,194.38x = 648,872.91 × 255,336.30
  4. Step 4: Simplify right side
    470,194.38x = 165,680,808,009.63
  5. Step 5: Solve for x
    x = 165,680,808,009.63/470,194.38
  6. Step 6: Final answer
    x = 352,366.63

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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.