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Finding the Fourth Proportional to 312,266.88, 430,816.32 and 178,053.12

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Solution

The fourth proportional to 312,266.88, 430,816.32 and 178,053.12 is: 245,649.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,266.88 : 430,816.32 = 178,053.12 : x
  2. Step 2: Convert to fraction form
    312,266.88/430,816.32 = 178,053.12/x
  3. Step 3: Cross multiply
    312,266.88x = 430,816.32 × 178,053.12
  4. Step 4: Simplify right side
    312,266.88x = 76,708,189,922.92
  5. Step 5: Solve for x
    x = 76,708,189,922.92/312,266.88
  6. Step 6: Final answer
    x = 245,649.46

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1.5x scale

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.