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Finding the Fourth Proportional to 762,608.30, 1,052,364.14 and 418,435.64

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Solution

The fourth proportional to 762,608.30, 1,052,364.14 and 418,435.64 is: 577,421.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,608.30 : 1,052,364.14 = 418,435.64 : x
  2. Step 2: Convert to fraction form
    762,608.30/1,052,364.14 = 418,435.64/x
  3. Step 3: Cross multiply
    762,608.30x = 1,052,364.14 × 418,435.64
  4. Step 4: Simplify right side
    762,608.30x = 440,346,662,433.95
  5. Step 5: Solve for x
    x = 440,346,662,433.95/762,608.30
  6. Step 6: Final answer
    x = 577,421.81

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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.