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Finding the Fourth Proportional to 514,235.58, 771,404.41 and 190,108.64

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Solution

The fourth proportional to 514,235.58, 771,404.41 and 190,108.64 is: 285,181.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,235.58 : 771,404.41 = 190,108.64 : x
  2. Step 2: Convert to fraction form
    514,235.58/771,404.41 = 190,108.64/x
  3. Step 3: Cross multiply
    514,235.58x = 771,404.41 × 190,108.64
  4. Step 4: Simplify right side
    514,235.58x = 146,650,638,942.81
  5. Step 5: Solve for x
    x = 146,650,638,942.81/514,235.58
  6. Step 6: Final answer
    x = 285,181.82

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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.