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Finding the Fourth Proportional to 590,798.57, 815,297.87 and 322,526.57

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Solution

The fourth proportional to 590,798.57, 815,297.87 and 322,526.57 is: 445,084.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,798.57 : 815,297.87 = 322,526.57 : x
  2. Step 2: Convert to fraction form
    590,798.57/815,297.87 = 322,526.57/x
  3. Step 3: Cross multiply
    590,798.57x = 815,297.87 × 322,526.57
  4. Step 4: Simplify right side
    590,798.57x = 262,955,222,269.23
  5. Step 5: Solve for x
    x = 262,955,222,269.23/590,798.57
  6. Step 6: Final answer
    x = 445,084.40

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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.