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Finding the Fourth Proportional to 312,007.60, 468,011.40 and 305,786.80

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Solution

The fourth proportional to 312,007.60, 468,011.40 and 305,786.80 is: 458,680.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,007.60 : 468,011.40 = 305,786.80 : x
  2. Step 2: Convert to fraction form
    312,007.60/468,011.40 = 305,786.80/x
  3. Step 3: Cross multiply
    312,007.60x = 468,011.40 × 305,786.80
  4. Step 4: Simplify right side
    312,007.60x = 143,111,708,369.52
  5. Step 5: Solve for x
    x = 143,111,708,369.52/312,007.60
  6. Step 6: Final answer
    x = 458,680.20

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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.