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Finding the Fourth Proportional to 470,224.74, 648,914.49 and 255,366.66

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Solution

The fourth proportional to 470,224.74, 648,914.49 and 255,366.66 is: 352,408.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,224.74 : 648,914.49 = 255,366.66 : x
  2. Step 2: Convert to fraction form
    470,224.74/648,914.49 = 255,366.66/x
  3. Step 3: Cross multiply
    470,224.74x = 648,914.49 × 255,366.66
  4. Step 4: Simplify right side
    470,224.74x = 165,711,125,936.90
  5. Step 5: Solve for x
    x = 165,711,125,936.90/470,224.74
  6. Step 6: Final answer
    x = 352,408.35

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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.