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Finding the Fourth Proportional to 419,404.38, 578,784.64 and 228,417.62

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Solution

The fourth proportional to 419,404.38, 578,784.64 and 228,417.62 is: 315,219.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,404.38 : 578,784.64 = 228,417.62 : x
  2. Step 2: Convert to fraction form
    419,404.38/578,784.64 = 228,417.62/x
  3. Step 3: Cross multiply
    419,404.38x = 578,784.64 × 228,417.62
  4. Step 4: Simplify right side
    419,404.38x = 132,204,609,961.36
  5. Step 5: Solve for x
    x = 132,204,609,961.36/419,404.38
  6. Step 6: Final answer
    x = 315,219.91

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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.