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Finding the Fourth Proportional to 689,182.40, 1,032,218.40 and 409,246.40

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Solution

The fourth proportional to 689,182.40, 1,032,218.40 and 409,246.40 is: 612,946.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,182.40 : 1,032,218.40 = 409,246.40 : x
  2. Step 2: Convert to fraction form
    689,182.40/1,032,218.40 = 409,246.40/x
  3. Step 3: Cross multiply
    689,182.40x = 1,032,218.40 × 409,246.40
  4. Step 4: Simplify right side
    689,182.40x = 422,431,664,213.76
  5. Step 5: Solve for x
    x = 422,431,664,213.76/689,182.40
  6. Step 6: Final answer
    x = 612,946.10

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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.