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Finding the Fourth Proportional to 313,923.30, 470,874.54 and 136,430.52

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Solution

The fourth proportional to 313,923.30, 470,874.54 and 136,430.52 is: 204,641.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,923.30 : 470,874.54 = 136,430.52 : x
  2. Step 2: Convert to fraction form
    313,923.30/470,874.54 = 136,430.52/x
  3. Step 3: Cross multiply
    313,923.30x = 470,874.54 × 136,430.52
  4. Step 4: Simplify right side
    313,923.30x = 64,241,658,346.96
  5. Step 5: Solve for x
    x = 64,241,658,346.96/313,923.30
  6. Step 6: Final answer
    x = 204,641.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.