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Finding the Fourth Proportional to 430,714.86, 646,216.15 and 190,796.16

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Solution

The fourth proportional to 430,714.86, 646,216.15 and 190,796.16 is: 286,257.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,714.86 : 646,216.15 = 190,796.16 : x
  2. Step 2: Convert to fraction form
    430,714.86/646,216.15 = 190,796.16/x
  3. Step 3: Cross multiply
    430,714.86x = 646,216.15 × 190,796.16
  4. Step 4: Simplify right side
    430,714.86x = 123,295,559,949.98
  5. Step 5: Solve for x
    x = 123,295,559,949.98/430,714.86
  6. Step 6: Final answer
    x = 286,257.97

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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.