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Finding the Fourth Proportional to 469,913.48, 704,864.14 and 114,930.44

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Solution

The fourth proportional to 469,913.48, 704,864.14 and 114,930.44 is: 172,394.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,913.48 : 704,864.14 = 114,930.44 : x
  2. Step 2: Convert to fraction form
    469,913.48/704,864.14 = 114,930.44/x
  3. Step 3: Cross multiply
    469,913.48x = 704,864.14 × 114,930.44
  4. Step 4: Simplify right side
    469,913.48x = 81,010,345,750.42
  5. Step 5: Solve for x
    x = 81,010,345,750.42/469,913.48
  6. Step 6: Final answer
    x = 172,394.17

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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.