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Finding the Fourth Proportional to 582,632.64, 804,109.60 and 328,033.60

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Solution

The fourth proportional to 582,632.64, 804,109.60 and 328,033.60 is: 452,729.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,632.64 : 804,109.60 = 328,033.60 : x
  2. Step 2: Convert to fraction form
    582,632.64/804,109.60 = 328,033.60/x
  3. Step 3: Cross multiply
    582,632.64x = 804,109.60 × 328,033.60
  4. Step 4: Simplify right side
    582,632.64x = 263,774,966,882.56
  5. Step 5: Solve for x
    x = 263,774,966,882.56/582,632.64
  6. Step 6: Final answer
    x = 452,729.47

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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.