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Finding the Fourth Proportional to 513,218.40, 769,827.60 and 460,730.40

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Solution

The fourth proportional to 513,218.40, 769,827.60 and 460,730.40 is: 691,095.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,218.40 : 769,827.60 = 460,730.40 : x
  2. Step 2: Convert to fraction form
    513,218.40/769,827.60 = 460,730.40/x
  3. Step 3: Cross multiply
    513,218.40x = 769,827.60 × 460,730.40
  4. Step 4: Simplify right side
    513,218.40x = 354,682,978,079.04
  5. Step 5: Solve for x
    x = 354,682,978,079.04/513,218.40
  6. Step 6: Final answer
    x = 691,095.60

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.