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Finding the Fourth Proportional to 589,736.16, 813,805.20 and 335,052

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Solution

The fourth proportional to 589,736.16, 813,805.20 and 335,052 is: 462,354.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,736.16 : 813,805.20 = 335,052 : x
  2. Step 2: Convert to fraction form
    589,736.16/813,805.20 = 335,052/x
  3. Step 3: Cross multiply
    589,736.16x = 813,805.20 × 335,052
  4. Step 4: Simplify right side
    589,736.16x = 272,667,059,870.40
  5. Step 5: Solve for x
    x = 272,667,059,870.40/589,736.16
  6. Step 6: Final answer
    x = 462,354.32

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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.