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Finding the Fourth Proportional to 313,859.90, 470,641.45 and 114,041.02

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Solution

The fourth proportional to 313,859.90, 470,641.45 and 114,041.02 is: 171,007.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,859.90 : 470,641.45 = 114,041.02 : x
  2. Step 2: Convert to fraction form
    313,859.90/470,641.45 = 114,041.02/x
  3. Step 3: Cross multiply
    313,859.90x = 470,641.45 × 114,041.02
  4. Step 4: Simplify right side
    313,859.90x = 53,672,431,012.28
  5. Step 5: Solve for x
    x = 53,672,431,012.28/313,859.90
  6. Step 6: Final answer
    x = 171,007.61

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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.