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Finding the Fourth Proportional to 464,452.96, 696,757.20 and 417,434.08

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Solution

The fourth proportional to 464,452.96, 696,757.20 and 417,434.08 is: 626,221.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,452.96 : 696,757.20 = 417,434.08 : x
  2. Step 2: Convert to fraction form
    464,452.96/696,757.20 = 417,434.08/x
  3. Step 3: Cross multiply
    464,452.96x = 696,757.20 × 417,434.08
  4. Step 4: Simplify right side
    464,452.96x = 290,850,200,765.38
  5. Step 5: Solve for x
    x = 290,850,200,765.38/464,452.96
  6. Step 6: Final answer
    x = 626,221.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.