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Finding the Fourth Proportional to 582,980.40, 804,570.32 and 341,248.32

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Solution

The fourth proportional to 582,980.40, 804,570.32 and 341,248.32 is: 470,956.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,980.40 : 804,570.32 = 341,248.32 : x
  2. Step 2: Convert to fraction form
    582,980.40/804,570.32 = 341,248.32/x
  3. Step 3: Cross multiply
    582,980.40x = 804,570.32 × 341,248.32
  4. Step 4: Simplify right side
    582,980.40x = 274,558,270,021.86
  5. Step 5: Solve for x
    x = 274,558,270,021.86/582,980.40
  6. Step 6: Final answer
    x = 470,956.26

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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.