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Finding the Fourth Proportional to 446,430.80, 669,646.20 and 412,216.40

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Solution

The fourth proportional to 446,430.80, 669,646.20 and 412,216.40 is: 618,324.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,430.80 : 669,646.20 = 412,216.40 : x
  2. Step 2: Convert to fraction form
    446,430.80/669,646.20 = 412,216.40/x
  3. Step 3: Cross multiply
    446,430.80x = 669,646.20 × 412,216.40
  4. Step 4: Simplify right side
    446,430.80x = 276,039,145,837.68
  5. Step 5: Solve for x
    x = 276,039,145,837.68/446,430.80
  6. Step 6: Final answer
    x = 618,324.60

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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.