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Finding the Fourth Proportional to 457,369.25, 686,162.88 and 157,852.44

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Solution

The fourth proportional to 457,369.25, 686,162.88 and 157,852.44 is: 236,816.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,369.25 : 686,162.88 = 157,852.44 : x
  2. Step 2: Convert to fraction form
    457,369.25/686,162.88 = 157,852.44/x
  3. Step 3: Cross multiply
    457,369.25x = 686,162.88 × 157,852.44
  4. Step 4: Simplify right side
    457,369.25x = 108,312,484,845.43
  5. Step 5: Solve for x
    x = 108,312,484,845.43/457,369.25
  6. Step 6: Final answer
    x = 236,816.28

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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.