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Finding the Fourth Proportional to 457,369.16, 686,682.16 and 232,880.45

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Solution

The fourth proportional to 457,369.16, 686,682.16 and 232,880.45 is: 349,640.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,369.16 : 686,682.16 = 232,880.45 : x
  2. Step 2: Convert to fraction form
    457,369.16/686,682.16 = 232,880.45/x
  3. Step 3: Cross multiply
    457,369.16x = 686,682.16 × 232,880.45
  4. Step 4: Simplify right side
    457,369.16x = 159,914,846,412.16
  5. Step 5: Solve for x
    x = 159,914,846,412.16/457,369.16
  6. Step 6: Final answer
    x = 349,640.64

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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.