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Finding the Fourth Proportional to 417,425.67, 575,826.84 and 296,615.79

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Solution

The fourth proportional to 417,425.67, 575,826.84 and 296,615.79 is: 409,173.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,425.67 : 575,826.84 = 296,615.79 : x
  2. Step 2: Convert to fraction form
    417,425.67/575,826.84 = 296,615.79/x
  3. Step 3: Cross multiply
    417,425.67x = 575,826.84 × 296,615.79
  4. Step 4: Simplify right side
    417,425.67x = 170,799,333,049.80
  5. Step 5: Solve for x
    x = 170,799,333,049.80/417,425.67
  6. Step 6: Final answer
    x = 409,173.05

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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.