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Finding the Fourth Proportional to 417,428.08, 575,617.76 and 357,198.08

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Solution

The fourth proportional to 417,428.08, 575,617.76 and 357,198.08 is: 492,562.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,428.08 : 575,617.76 = 357,198.08 : x
  2. Step 2: Convert to fraction form
    417,428.08/575,617.76 = 357,198.08/x
  3. Step 3: Cross multiply
    417,428.08x = 575,617.76 × 357,198.08
  4. Step 4: Simplify right side
    417,428.08x = 205,609,558,685.90
  5. Step 5: Solve for x
    x = 205,609,558,685.90/417,428.08
  6. Step 6: Final answer
    x = 492,562.84

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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.