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Finding the Fourth Proportional to 590,820.48, 815,328.08 and 322,548.48

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Solution

The fourth proportional to 590,820.48, 815,328.08 and 322,548.48 is: 445,114.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,820.48 : 815,328.08 = 322,548.48 : x
  2. Step 2: Convert to fraction form
    590,820.48/815,328.08 = 322,548.48/x
  3. Step 3: Cross multiply
    590,820.48x = 815,328.08 × 322,548.48
  4. Step 4: Simplify right side
    590,820.48x = 262,982,832,905.32
  5. Step 5: Solve for x
    x = 262,982,832,905.32/590,820.48
  6. Step 6: Final answer
    x = 445,114.62

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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.