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Finding the Fourth Proportional to 601,362.06, 829,684.38 and 410,043.30

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Solution

The fourth proportional to 601,362.06, 829,684.38 and 410,043.30 is: 565,726.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,362.06 : 829,684.38 = 410,043.30 : x
  2. Step 2: Convert to fraction form
    601,362.06/829,684.38 = 410,043.30/x
  3. Step 3: Cross multiply
    601,362.06x = 829,684.38 × 410,043.30
  4. Step 4: Simplify right side
    601,362.06x = 340,206,521,133.65
  5. Step 5: Solve for x
    x = 340,206,521,133.65/601,362.06
  6. Step 6: Final answer
    x = 565,726.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.