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Finding the Fourth Proportional to 582,840.38, 804,319.73 and 341,111.27

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Solution

The fourth proportional to 582,840.38, 804,319.73 and 341,111.27 is: 470,733.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,840.38 : 804,319.73 = 341,111.27 : x
  2. Step 2: Convert to fraction form
    582,840.38/804,319.73 = 341,111.27/x
  3. Step 3: Cross multiply
    582,840.38x = 804,319.73 × 341,111.27
  4. Step 4: Simplify right side
    582,840.38x = 274,362,518,859.20
  5. Step 5: Solve for x
    x = 274,362,518,859.20/582,840.38
  6. Step 6: Final answer
    x = 470,733.55

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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.