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Finding the Fourth Proportional to 412,860.24, 619,141.32 and 176,219.28

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Solution

The fourth proportional to 412,860.24, 619,141.32 and 176,219.28 is: 264,265.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,860.24 : 619,141.32 = 176,219.28 : x
  2. Step 2: Convert to fraction form
    412,860.24/619,141.32 = 176,219.28/x
  3. Step 3: Cross multiply
    412,860.24x = 619,141.32 × 176,219.28
  4. Step 4: Simplify right side
    412,860.24x = 109,104,637,628.65
  5. Step 5: Solve for x
    x = 109,104,637,628.65/412,860.24
  6. Step 6: Final answer
    x = 264,265.31

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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.