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Finding the Fourth Proportional to 978,178.65, 1,467,267.98 and 978,178.65

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Solution

The fourth proportional to 978,178.65, 1,467,267.98 and 978,178.65 is: 1,467,267.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,178.65 : 1,467,267.98 = 978,178.65 : x
  2. Step 2: Convert to fraction form
    978,178.65/1,467,267.98 = 978,178.65/x
  3. Step 3: Cross multiply
    978,178.65x = 1,467,267.98 × 978,178.65
  4. Step 4: Simplify right side
    978,178.65x = 1,435,250,206,973.73
  5. Step 5: Solve for x
    x = 1,435,250,206,973.73/978,178.65
  6. Step 6: Final answer
    x = 1,467,267.98

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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.