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Finding the Fourth Proportional to 419,505.33, 578,914.40 and 228,518.73

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Solution

The fourth proportional to 419,505.33, 578,914.40 and 228,518.73 is: 315,354.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,505.33 : 578,914.40 = 228,518.73 : x
  2. Step 2: Convert to fraction form
    419,505.33/578,914.40 = 228,518.73/x
  3. Step 3: Cross multiply
    419,505.33x = 578,914.40 × 228,518.73
  4. Step 4: Simplify right side
    419,505.33x = 132,292,784,038.01
  5. Step 5: Solve for x
    x = 132,292,784,038.01/419,505.33
  6. Step 6: Final answer
    x = 315,354.24

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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.