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Finding the Fourth Proportional to 492,056.96, 679,165.28 and 320,403.38

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Solution

The fourth proportional to 492,056.96, 679,165.28 and 320,403.38 is: 442,239.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,056.96 : 679,165.28 = 320,403.38 : x
  2. Step 2: Convert to fraction form
    492,056.96/679,165.28 = 320,403.38/x
  3. Step 3: Cross multiply
    492,056.96x = 679,165.28 × 320,403.38
  4. Step 4: Simplify right side
    492,056.96x = 217,606,851,290.65
  5. Step 5: Solve for x
    x = 217,606,851,290.65/492,056.96
  6. Step 6: Final answer
    x = 442,239.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.