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Finding the Fourth Proportional to 417,689.80, 574,195.94 and 359,333.58

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Solution

The fourth proportional to 417,689.80, 574,195.94 and 359,333.58 is: 493,973.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,689.80 : 574,195.94 = 359,333.58 : x
  2. Step 2: Convert to fraction form
    417,689.80/574,195.94 = 359,333.58/x
  3. Step 3: Cross multiply
    417,689.80x = 574,195.94 × 359,333.58
  4. Step 4: Simplify right side
    417,689.80x = 206,327,879,465.51
  5. Step 5: Solve for x
    x = 206,327,879,465.51/417,689.80
  6. Step 6: Final answer
    x = 493,973.95

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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.