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Finding the Fourth Proportional to 462,343.98, 693,716.31 and 163,038.42

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Solution

The fourth proportional to 462,343.98, 693,716.31 and 163,038.42 is: 244,628.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,343.98 : 693,716.31 = 163,038.42 : x
  2. Step 2: Convert to fraction form
    462,343.98/693,716.31 = 163,038.42/x
  3. Step 3: Cross multiply
    462,343.98x = 693,716.31 × 163,038.42
  4. Step 4: Simplify right side
    462,343.98x = 113,102,411,110.63
  5. Step 5: Solve for x
    x = 113,102,411,110.63/462,343.98
  6. Step 6: Final answer
    x = 244,628.28

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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.