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Finding the Fourth Proportional to 530,511.40, 795,767.10 and 214,978.60

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Solution

The fourth proportional to 530,511.40, 795,767.10 and 214,978.60 is: 322,467.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,511.40 : 795,767.10 = 214,978.60 : x
  2. Step 2: Convert to fraction form
    530,511.40/795,767.10 = 214,978.60/x
  3. Step 3: Cross multiply
    530,511.40x = 795,767.10 × 214,978.60
  4. Step 4: Simplify right side
    530,511.40x = 171,072,897,084.06
  5. Step 5: Solve for x
    x = 171,072,897,084.06/530,511.40
  6. Step 6: Final answer
    x = 322,467.90

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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.