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Finding the Fourth Proportional to 295,290.88, 407,447.76 and 174,451.84

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Solution

The fourth proportional to 295,290.88, 407,447.76 and 174,451.84 is: 240,711.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,290.88 : 407,447.76 = 174,451.84 : x
  2. Step 2: Convert to fraction form
    295,290.88/407,447.76 = 174,451.84/x
  3. Step 3: Cross multiply
    295,290.88x = 407,447.76 × 174,451.84
  4. Step 4: Simplify right side
    295,290.88x = 71,080,011,435.88
  5. Step 5: Solve for x
    x = 71,080,011,435.88/295,290.88
  6. Step 6: Final answer
    x = 240,711.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.