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Finding the Fourth Proportional to 462,429.72, 693,678.62 and 196,160.04

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Solution

The fourth proportional to 462,429.72, 693,678.62 and 196,160.04 is: 294,254.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,429.72 : 693,678.62 = 196,160.04 : x
  2. Step 2: Convert to fraction form
    462,429.72/693,678.62 = 196,160.04/x
  3. Step 3: Cross multiply
    462,429.72x = 693,678.62 × 196,160.04
  4. Step 4: Simplify right side
    462,429.72x = 136,072,025,846.35
  5. Step 5: Solve for x
    x = 136,072,025,846.35/462,429.72
  6. Step 6: Final answer
    x = 294,254.50

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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.