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Finding the Fourth Proportional to 397,644.68, 596,282.70 and 148,259.72

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Solution

The fourth proportional to 397,644.68, 596,282.70 and 148,259.72 is: 222,320.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,644.68 : 596,282.70 = 148,259.72 : x
  2. Step 2: Convert to fraction form
    397,644.68/596,282.70 = 148,259.72/x
  3. Step 3: Cross multiply
    397,644.68x = 596,282.70 × 148,259.72
  4. Step 4: Simplify right side
    397,644.68x = 88,404,706,142.84
  5. Step 5: Solve for x
    x = 88,404,706,142.84/397,644.68
  6. Step 6: Final answer
    x = 222,320.86

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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.