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Finding the Fourth Proportional to 590,805.94, 815,308.05 and 322,533.94

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Solution

The fourth proportional to 590,805.94, 815,308.05 and 322,533.94 is: 445,094.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,805.94 : 815,308.05 = 322,533.94 : x
  2. Step 2: Convert to fraction form
    590,805.94/815,308.05 = 322,533.94/x
  3. Step 3: Cross multiply
    590,805.94x = 815,308.05 × 322,533.94
  4. Step 4: Simplify right side
    590,805.94x = 262,964,517,680.22
  5. Step 5: Solve for x
    x = 262,964,517,680.22/590,805.94
  6. Step 6: Final answer
    x = 445,094.57

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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.