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Finding the Fourth Proportional to 512,583.60, 768,875.40 and 299,132.40

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Solution

The fourth proportional to 512,583.60, 768,875.40 and 299,132.40 is: 448,698.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,583.60 : 768,875.40 = 299,132.40 : x
  2. Step 2: Convert to fraction form
    512,583.60/768,875.40 = 299,132.40/x
  3. Step 3: Cross multiply
    512,583.60x = 768,875.40 × 299,132.40
  4. Step 4: Simplify right side
    512,583.60x = 229,995,543,702.96
  5. Step 5: Solve for x
    x = 229,995,543,702.96/512,583.60
  6. Step 6: Final answer
    x = 448,698.60

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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.