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Finding the Fourth Proportional to 582,135.97, 803,346.40 and 327,487.16

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Solution

The fourth proportional to 582,135.97, 803,346.40 and 327,487.16 is: 451,931.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,135.97 : 803,346.40 = 327,487.16 : x
  2. Step 2: Convert to fraction form
    582,135.97/803,346.40 = 327,487.16/x
  3. Step 3: Cross multiply
    582,135.97x = 803,346.40 × 327,487.16
  4. Step 4: Simplify right side
    582,135.97x = 263,085,631,032.22
  5. Step 5: Solve for x
    x = 263,085,631,032.22/582,135.97
  6. Step 6: Final answer
    x = 451,931.58

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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.