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Finding the Fourth Proportional to 470,051.08, 704,942.70 and 133,069.64

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Solution

The fourth proportional to 470,051.08, 704,942.70 and 133,069.64 is: 199,566.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,051.08 : 704,942.70 = 133,069.64 : x
  2. Step 2: Convert to fraction form
    470,051.08/704,942.70 = 133,069.64/x
  3. Step 3: Cross multiply
    470,051.08x = 704,942.70 × 133,069.64
  4. Step 4: Simplify right side
    470,051.08x = 93,806,471,309.63
  5. Step 5: Solve for x
    x = 93,806,471,309.63/470,051.08
  6. Step 6: Final answer
    x = 199,566.55

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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.