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Finding the Fourth Proportional to 357,006.46, 492,700.78 and 195,892.88

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Solution

The fourth proportional to 357,006.46, 492,700.78 and 195,892.88 is: 270,349.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,006.46 : 492,700.78 = 195,892.88 : x
  2. Step 2: Convert to fraction form
    357,006.46/492,700.78 = 195,892.88/x
  3. Step 3: Cross multiply
    357,006.46x = 492,700.78 × 195,892.88
  4. Step 4: Simplify right side
    357,006.46x = 96,516,574,772.45
  5. Step 5: Solve for x
    x = 96,516,574,772.45/357,006.46
  6. Step 6: Final answer
    x = 270,349.66

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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.