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Finding the Fourth Proportional to 312,622.56, 431,416.32 and 185,358.48

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Solution

The fourth proportional to 312,622.56, 431,416.32 and 185,358.48 is: 255,793.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,622.56 : 431,416.32 = 185,358.48 : x
  2. Step 2: Convert to fraction form
    312,622.56/431,416.32 = 185,358.48/x
  3. Step 3: Cross multiply
    312,622.56x = 431,416.32 × 185,358.48
  4. Step 4: Simplify right side
    312,622.56x = 79,966,673,322.39
  5. Step 5: Solve for x
    x = 79,966,673,322.39/312,622.56
  6. Step 6: Final answer
    x = 255,793.03

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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.