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Finding the Fourth Proportional to 419,421.89, 578,808.93 and 228,435.28

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Solution

The fourth proportional to 419,421.89, 578,808.93 and 228,435.28 is: 315,244.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,421.89 : 578,808.93 = 228,435.28 : x
  2. Step 2: Convert to fraction form
    419,421.89/578,808.93 = 228,435.28/x
  3. Step 3: Cross multiply
    419,421.89x = 578,808.93 × 228,435.28
  4. Step 4: Simplify right side
    419,421.89x = 132,220,379,991.05
  5. Step 5: Solve for x
    x = 132,220,379,991.05/419,421.89
  6. Step 6: Final answer
    x = 315,244.35

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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.