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Finding the Fourth Proportional to 397,637.94, 596,437.44 and 148,300.50

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Solution

The fourth proportional to 397,637.94, 596,437.44 and 148,300.50 is: 222,443.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,637.94 : 596,437.44 = 148,300.50 : x
  2. Step 2: Convert to fraction form
    397,637.94/596,437.44 = 148,300.50/x
  3. Step 3: Cross multiply
    397,637.94x = 596,437.44 × 148,300.50
  4. Step 4: Simplify right side
    397,637.94x = 88,451,970,570.72
  5. Step 5: Solve for x
    x = 88,451,970,570.72/397,637.94
  6. Step 6: Final answer
    x = 222,443.49

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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.