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Finding the Fourth Proportional to 580,946.37, 801,689.95 and 322,816.65

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Solution

The fourth proportional to 580,946.37, 801,689.95 and 322,816.65 is: 445,478.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,946.37 : 801,689.95 = 322,816.65 : x
  2. Step 2: Convert to fraction form
    580,946.37/801,689.95 = 322,816.65/x
  3. Step 3: Cross multiply
    580,946.37x = 801,689.95 × 322,816.65
  4. Step 4: Simplify right side
    580,946.37x = 258,798,863,997.67
  5. Step 5: Solve for x
    x = 258,798,863,997.67/580,946.37
  6. Step 6: Final answer
    x = 445,478.06

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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.