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Finding the Fourth Proportional to 297,945.20, 446,917.80 and 282,393.20

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Solution

The fourth proportional to 297,945.20, 446,917.80 and 282,393.20 is: 423,589.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,945.20 : 446,917.80 = 282,393.20 : x
  2. Step 2: Convert to fraction form
    297,945.20/446,917.80 = 282,393.20/x
  3. Step 3: Cross multiply
    297,945.20x = 446,917.80 × 282,393.20
  4. Step 4: Simplify right side
    297,945.20x = 126,206,547,678.96
  5. Step 5: Solve for x
    x = 126,206,547,678.96/297,945.20
  6. Step 6: Final answer
    x = 423,589.80

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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.