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Finding the Fourth Proportional to 580,112.64, 800,603.67 and 322,013.84

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Solution

The fourth proportional to 580,112.64, 800,603.67 and 322,013.84 is: 444,405.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,112.64 : 800,603.67 = 322,013.84 : x
  2. Step 2: Convert to fraction form
    580,112.64/800,603.67 = 322,013.84/x
  3. Step 3: Cross multiply
    580,112.64x = 800,603.67 × 322,013.84
  4. Step 4: Simplify right side
    580,112.64x = 257,805,462,094.79
  5. Step 5: Solve for x
    x = 257,805,462,094.79/580,112.64
  6. Step 6: Final answer
    x = 444,405.87

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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.