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Finding the Fourth Proportional to 419,404.54, 578,784.86 and 228,417.78

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Solution

The fourth proportional to 419,404.54, 578,784.86 and 228,417.78 is: 315,220.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,404.54 : 578,784.86 = 228,417.78 : x
  2. Step 2: Convert to fraction form
    419,404.54/578,784.86 = 228,417.78/x
  3. Step 3: Cross multiply
    419,404.54x = 578,784.86 × 228,417.78
  4. Step 4: Simplify right side
    419,404.54x = 132,204,751,676.72
  5. Step 5: Solve for x
    x = 132,204,751,676.72/419,404.54
  6. Step 6: Final answer
    x = 315,220.13

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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.