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Finding the Fourth Proportional to 535,815.40, 803,723.10 and 409,844.20

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Solution

The fourth proportional to 535,815.40, 803,723.10 and 409,844.20 is: 614,766.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,815.40 : 803,723.10 = 409,844.20 : x
  2. Step 2: Convert to fraction form
    535,815.40/803,723.10 = 409,844.20/x
  3. Step 3: Cross multiply
    535,815.40x = 803,723.10 × 409,844.20
  4. Step 4: Simplify right side
    535,815.40x = 329,401,250,941.02
  5. Step 5: Solve for x
    x = 329,401,250,941.02/535,815.40
  6. Step 6: Final answer
    x = 614,766.30

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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.