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Finding the Fourth Proportional to 470,013.16, 648,626.05 and 255,153.22

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Solution

The fourth proportional to 470,013.16, 648,626.05 and 255,153.22 is: 352,115.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,013.16 : 648,626.05 = 255,153.22 : x
  2. Step 2: Convert to fraction form
    470,013.16/648,626.05 = 255,153.22/x
  3. Step 3: Cross multiply
    470,013.16x = 648,626.05 × 255,153.22
  4. Step 4: Simplify right side
    470,013.16x = 165,499,025,233.38
  5. Step 5: Solve for x
    x = 165,499,025,233.38/470,013.16
  6. Step 6: Final answer
    x = 352,115.73

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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.