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Finding the Fourth Proportional to 417,689.24, 574,195.16 and 359,333.01

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Solution

The fourth proportional to 417,689.24, 574,195.16 and 359,333.01 is: 493,973.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,689.24 : 574,195.16 = 359,333.01 : x
  2. Step 2: Convert to fraction form
    417,689.24/574,195.16 = 359,333.01/x
  3. Step 3: Cross multiply
    417,689.24x = 574,195.16 × 359,333.01
  4. Step 4: Simplify right side
    417,689.24x = 206,327,279,248.91
  5. Step 5: Solve for x
    x = 206,327,279,248.91/417,689.24
  6. Step 6: Final answer
    x = 493,973.18

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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.