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Finding the Fourth Proportional to 407,701.41, 562,909.43 and 254,808.33

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Solution

The fourth proportional to 407,701.41, 562,909.43 and 254,808.33 is: 351,811.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,701.41 : 562,909.43 = 254,808.33 : x
  2. Step 2: Convert to fraction form
    407,701.41/562,909.43 = 254,808.33/x
  3. Step 3: Cross multiply
    407,701.41x = 562,909.43 × 254,808.33
  4. Step 4: Simplify right side
    407,701.41x = 143,434,008,985.01
  5. Step 5: Solve for x
    x = 143,434,008,985.01/407,701.41
  6. Step 6: Final answer
    x = 351,811.42

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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.