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Finding the Fourth Proportional to 417,883.68, 574,461.76 and 359,527.36

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Solution

The fourth proportional to 417,883.68, 574,461.76 and 359,527.36 is: 494,239.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,883.68 : 574,461.76 = 359,527.36 : x
  2. Step 2: Convert to fraction form
    417,883.68/574,461.76 = 359,527.36/x
  3. Step 3: Cross multiply
    417,883.68x = 574,461.76 × 359,527.36
  4. Step 4: Simplify right side
    417,883.68x = 206,534,719,993.75
  5. Step 5: Solve for x
    x = 206,534,719,993.75/417,883.68
  6. Step 6: Final answer
    x = 494,239.74

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.