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Finding the Fourth Proportional to 589,570.44, 813,376.26 and 362,822.28

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Solution

The fourth proportional to 589,570.44, 813,376.26 and 362,822.28 is: 500,552.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,570.44 : 813,376.26 = 362,822.28 : x
  2. Step 2: Convert to fraction form
    589,570.44/813,376.26 = 362,822.28/x
  3. Step 3: Cross multiply
    589,570.44x = 813,376.26 × 362,822.28
  4. Step 4: Simplify right side
    589,570.44x = 295,111,029,151.07
  5. Step 5: Solve for x
    x = 295,111,029,151.07/589,570.44
  6. Step 6: Final answer
    x = 500,552.62

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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.