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Finding the Fourth Proportional to 589,311.66, 813,228.44 and 360,252.56

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Solution

The fourth proportional to 589,311.66, 813,228.44 and 360,252.56 is: 497,135.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,311.66 : 813,228.44 = 360,252.56 : x
  2. Step 2: Convert to fraction form
    589,311.66/813,228.44 = 360,252.56/x
  3. Step 3: Cross multiply
    589,311.66x = 813,228.44 × 360,252.56
  4. Step 4: Simplify right side
    589,311.66x = 292,967,627,374.81
  5. Step 5: Solve for x
    x = 292,967,627,374.81/589,311.66
  6. Step 6: Final answer
    x = 497,135.30

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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.