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Finding the Fourth Proportional to 427,415.64, 589,690.34 and 246,123.68

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Solution

The fourth proportional to 427,415.64, 589,690.34 and 246,123.68 is: 339,568.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,415.64 : 589,690.34 = 246,123.68 : x
  2. Step 2: Convert to fraction form
    427,415.64/589,690.34 = 246,123.68/x
  3. Step 3: Cross multiply
    427,415.64x = 589,690.34 × 246,123.68
  4. Step 4: Simplify right side
    427,415.64x = 145,136,752,362.18
  5. Step 5: Solve for x
    x = 145,136,752,362.18/427,415.64
  6. Step 6: Final answer
    x = 339,568.18

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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.