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Finding the Fourth Proportional to 419,403.41, 578,783.30 and 228,416.65

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Solution

The fourth proportional to 419,403.41, 578,783.30 and 228,416.65 is: 315,218.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,403.41 : 578,783.30 = 228,416.65 : x
  2. Step 2: Convert to fraction form
    419,403.41/578,783.30 = 228,416.65/x
  3. Step 3: Cross multiply
    419,403.41x = 578,783.30 × 228,416.65
  4. Step 4: Simplify right side
    419,403.41x = 132,203,743,756.47
  5. Step 5: Solve for x
    x = 132,203,743,756.47/419,403.41
  6. Step 6: Final answer
    x = 315,218.57

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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.