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Finding the Fourth Proportional to 357,098.70, 492,772.10 and 195,964.08

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Solution

The fourth proportional to 357,098.70, 492,772.10 and 195,964.08 is: 270,417.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,098.70 : 492,772.10 = 195,964.08 : x
  2. Step 2: Convert to fraction form
    357,098.70/492,772.10 = 195,964.08/x
  3. Step 3: Cross multiply
    357,098.70x = 492,772.10 × 195,964.08
  4. Step 4: Simplify right side
    357,098.70x = 96,565,627,782.49
  5. Step 5: Solve for x
    x = 96,565,627,782.49/357,098.70
  6. Step 6: Final answer
    x = 270,417.19

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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.