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Finding the Fourth Proportional to 654,904.10, 982,654.23 and 317,762.66

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Solution

The fourth proportional to 654,904.10, 982,654.23 and 317,762.66 is: 476,788.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,904.10 : 982,654.23 = 317,762.66 : x
  2. Step 2: Convert to fraction form
    654,904.10/982,654.23 = 317,762.66/x
  3. Step 3: Cross multiply
    654,904.10x = 982,654.23 × 317,762.66
  4. Step 4: Simplify right side
    654,904.10x = 312,250,821,985.05
  5. Step 5: Solve for x
    x = 312,250,821,985.05/654,904.10
  6. Step 6: Final answer
    x = 476,788.62

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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.