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Finding the Fourth Proportional to 582,744.14, 804,223.90 and 353,323.40

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Solution

The fourth proportional to 582,744.14, 804,223.90 and 353,323.40 is: 487,608.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,744.14 : 804,223.90 = 353,323.40 : x
  2. Step 2: Convert to fraction form
    582,744.14/804,223.90 = 353,323.40/x
  3. Step 3: Cross multiply
    582,744.14x = 804,223.90 × 353,323.40
  4. Step 4: Simplify right side
    582,744.14x = 284,151,122,709.26
  5. Step 5: Solve for x
    x = 284,151,122,709.26/582,744.14
  6. Step 6: Final answer
    x = 487,608.72

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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.