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Finding the Fourth Proportional to 357,124.38, 492,837.65 and 195,994.41

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Solution

The fourth proportional to 357,124.38, 492,837.65 and 195,994.41 is: 270,475.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,124.38 : 492,837.65 = 195,994.41 : x
  2. Step 2: Convert to fraction form
    357,124.38/492,837.65 = 195,994.41/x
  3. Step 3: Cross multiply
    357,124.38x = 492,837.65 × 195,994.41
  4. Step 4: Simplify right side
    357,124.38x = 96,593,423,457.56
  5. Step 5: Solve for x
    x = 96,593,423,457.56/357,124.38
  6. Step 6: Final answer
    x = 270,475.58

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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.