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Finding the Fourth Proportional to 397,909.44, 596,112.96 and 308,106.32

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Solution

The fourth proportional to 397,909.44, 596,112.96 and 308,106.32 is: 461,577.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,909.44 : 596,112.96 = 308,106.32 : x
  2. Step 2: Convert to fraction form
    397,909.44/596,112.96 = 308,106.32/x
  3. Step 3: Cross multiply
    397,909.44x = 596,112.96 × 308,106.32
  4. Step 4: Simplify right side
    397,909.44x = 183,666,170,409.91
  5. Step 5: Solve for x
    x = 183,666,170,409.91/397,909.44
  6. Step 6: Final answer
    x = 461,577.82

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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.