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Finding the Fourth Proportional to 415,870.40, 623,799.84 and 100,324.64

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Solution

The fourth proportional to 415,870.40, 623,799.84 and 100,324.64 is: 150,485.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,870.40 : 623,799.84 = 100,324.64 : x
  2. Step 2: Convert to fraction form
    415,870.40/623,799.84 = 100,324.64/x
  3. Step 3: Cross multiply
    415,870.40x = 623,799.84 × 100,324.64
  4. Step 4: Simplify right side
    415,870.40x = 62,582,494,380.06
  5. Step 5: Solve for x
    x = 62,582,494,380.06/415,870.40
  6. Step 6: Final answer
    x = 150,485.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.