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Finding the Fourth Proportional to 977,885.80, 1,465,662.30 and 409,265.80

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Solution

The fourth proportional to 977,885.80, 1,465,662.30 and 409,265.80 is: 613,410.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,885.80 : 1,465,662.30 = 409,265.80 : x
  2. Step 2: Convert to fraction form
    977,885.80/1,465,662.30 = 409,265.80/x
  3. Step 3: Cross multiply
    977,885.80x = 1,465,662.30 × 409,265.80
  4. Step 4: Simplify right side
    977,885.80x = 599,845,453,739.34
  5. Step 5: Solve for x
    x = 599,845,453,739.34/977,885.80
  6. Step 6: Final answer
    x = 613,410.54

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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.