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Finding the Fourth Proportional to 393,698.16, 590,261.16 and 156,969.84

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Solution

The fourth proportional to 393,698.16, 590,261.16 and 156,969.84 is: 235,340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,698.16 : 590,261.16 = 156,969.84 : x
  2. Step 2: Convert to fraction form
    393,698.16/590,261.16 = 156,969.84/x
  3. Step 3: Cross multiply
    393,698.16x = 590,261.16 × 156,969.84
  4. Step 4: Simplify right side
    393,698.16x = 92,653,199,843.41
  5. Step 5: Solve for x
    x = 92,653,199,843.41/393,698.16
  6. Step 6: Final answer
    x = 235,340.70

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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.