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Finding the Fourth Proportional to 357,124.76, 492,838.16 and 195,994.80

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Solution

The fourth proportional to 357,124.76, 492,838.16 and 195,994.80 is: 270,476.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,124.76 : 492,838.16 = 195,994.80 : x
  2. Step 2: Convert to fraction form
    357,124.76/492,838.16 = 195,994.80/x
  3. Step 3: Cross multiply
    357,124.76x = 492,838.16 × 195,994.80
  4. Step 4: Simplify right side
    357,124.76x = 96,593,715,621.59
  5. Step 5: Solve for x
    x = 96,593,715,621.59/357,124.76
  6. Step 6: Final answer
    x = 270,476.11

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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.