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Finding the Fourth Proportional to 519,714, 717,205.68 and 281,250

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Solution

The fourth proportional to 519,714, 717,205.68 and 281,250 is: 388,125.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,714 : 717,205.68 = 281,250 : x
  2. Step 2: Convert to fraction form
    519,714/717,205.68 = 281,250/x
  3. Step 3: Cross multiply
    519,714x = 717,205.68 × 281,250
  4. Step 4: Simplify right side
    519,714x = 201,714,097,500
  5. Step 5: Solve for x
    x = 201,714,097,500/519,714
  6. Step 6: Final answer
    x = 388,125.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.