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Finding the Fourth Proportional to 419,009.10, 578,231.48 and 228,022.44

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Solution

The fourth proportional to 419,009.10, 578,231.48 and 228,022.44 is: 314,670.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,009.10 : 578,231.48 = 228,022.44 : x
  2. Step 2: Convert to fraction form
    419,009.10/578,231.48 = 228,022.44/x
  3. Step 3: Cross multiply
    419,009.10x = 578,231.48 × 228,022.44
  4. Step 4: Simplify right side
    419,009.10x = 131,849,752,954.41
  5. Step 5: Solve for x
    x = 131,849,752,954.41/419,009.10
  6. Step 6: Final answer
    x = 314,670.38

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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.