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Finding the Fourth Proportional to 357,146.38, 492,860.45 and 196,004.03

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Solution

The fourth proportional to 357,146.38, 492,860.45 and 196,004.03 is: 270,484.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,146.38 : 492,860.45 = 196,004.03 : x
  2. Step 2: Convert to fraction form
    357,146.38/492,860.45 = 196,004.03/x
  3. Step 3: Cross multiply
    357,146.38x = 492,860.45 × 196,004.03
  4. Step 4: Simplify right side
    357,146.38x = 96,602,636,149.77
  5. Step 5: Solve for x
    x = 96,602,636,149.77/357,146.38
  6. Step 6: Final answer
    x = 270,484.72

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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.