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Finding the Fourth Proportional to 582,971.32, 804,871.86 and 475,796.98

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Solution

The fourth proportional to 582,971.32, 804,871.86 and 475,796.98 is: 656,902.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,971.32 : 804,871.86 = 475,796.98 : x
  2. Step 2: Convert to fraction form
    582,971.32/804,871.86 = 475,796.98/x
  3. Step 3: Cross multiply
    582,971.32x = 804,871.86 × 475,796.98
  4. Step 4: Simplify right side
    582,971.32x = 382,955,600,274.98
  5. Step 5: Solve for x
    x = 382,955,600,274.98/582,971.32
  6. Step 6: Final answer
    x = 656,902.98

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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.