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Finding the Fourth Proportional to 397,235.40, 595,334.70 and 183,978.60

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Solution

The fourth proportional to 397,235.40, 595,334.70 and 183,978.60 is: 275,727.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,235.40 : 595,334.70 = 183,978.60 : x
  2. Step 2: Convert to fraction form
    397,235.40/595,334.70 = 183,978.60/x
  3. Step 3: Cross multiply
    397,235.40x = 595,334.70 × 183,978.60
  4. Step 4: Simplify right side
    397,235.40x = 109,528,844,637.42
  5. Step 5: Solve for x
    x = 109,528,844,637.42/397,235.40
  6. Step 6: Final answer
    x = 275,727.80

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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.