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Finding the Fourth Proportional to 582,689.76, 804,102.96 and 328,040.16

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Solution

The fourth proportional to 582,689.76, 804,102.96 and 328,040.16 is: 452,690.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,689.76 : 804,102.96 = 328,040.16 : x
  2. Step 2: Convert to fraction form
    582,689.76/804,102.96 = 328,040.16/x
  3. Step 3: Cross multiply
    582,689.76x = 804,102.96 × 328,040.16
  4. Step 4: Simplify right side
    582,689.76x = 263,778,063,654.87
  5. Step 5: Solve for x
    x = 263,778,063,654.87/582,689.76
  6. Step 6: Final answer
    x = 452,690.41

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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.