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Finding the Fourth Proportional to 512,784.60, 767,682 and 298,898.16

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Solution

The fourth proportional to 512,784.60, 767,682 and 298,898.16 is: 447,475.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,784.60 : 767,682 = 298,898.16 : x
  2. Step 2: Convert to fraction form
    512,784.60/767,682 = 298,898.16/x
  3. Step 3: Cross multiply
    512,784.60x = 767,682 × 298,898.16
  4. Step 4: Simplify right side
    512,784.60x = 229,458,737,265.12
  5. Step 5: Solve for x
    x = 229,458,737,265.12/512,784.60
  6. Step 6: Final answer
    x = 447,475.87

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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.