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Finding the Fourth Proportional to 589,848, 813,759.18 and 363,099.84

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Solution

The fourth proportional to 589,848, 813,759.18 and 363,099.84 is: 500,935.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,848 : 813,759.18 = 363,099.84 : x
  2. Step 2: Convert to fraction form
    589,848/813,759.18 = 363,099.84/x
  3. Step 3: Cross multiply
    589,848x = 813,759.18 × 363,099.84
  4. Step 4: Simplify right side
    589,848x = 295,475,828,056.53
  5. Step 5: Solve for x
    x = 295,475,828,056.53/589,848
  6. Step 6: Final answer
    x = 500,935.54

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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.