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Finding the Fourth Proportional to 313,924.30, 470,876.04 and 136,431.52

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Solution

The fourth proportional to 313,924.30, 470,876.04 and 136,431.52 is: 204,642.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,924.30 : 470,876.04 = 136,431.52 : x
  2. Step 2: Convert to fraction form
    313,924.30/470,876.04 = 136,431.52/x
  3. Step 3: Cross multiply
    313,924.30x = 470,876.04 × 136,431.52
  4. Step 4: Simplify right side
    313,924.30x = 64,242,333,868.78
  5. Step 5: Solve for x
    x = 64,242,333,868.78/313,924.30
  6. Step 6: Final answer
    x = 204,642.76

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1.5x scale

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.