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Finding the Fourth Proportional to 513,215.40, 769,823.10 and 460,727.40

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Solution

The fourth proportional to 513,215.40, 769,823.10 and 460,727.40 is: 691,091.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,215.40 : 769,823.10 = 460,727.40 : x
  2. Step 2: Convert to fraction form
    513,215.40/769,823.10 = 460,727.40/x
  3. Step 3: Cross multiply
    513,215.40x = 769,823.10 × 460,727.40
  4. Step 4: Simplify right side
    513,215.40x = 354,678,595,322.94
  5. Step 5: Solve for x
    x = 354,678,595,322.94/513,215.40
  6. Step 6: Final answer
    x = 691,091.10

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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.