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Finding the Fourth Proportional to 357,295.10, 493,068.06 and 196,160.52

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Solution

The fourth proportional to 357,295.10, 493,068.06 and 196,160.52 is: 270,701.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,295.10 : 493,068.06 = 196,160.52 : x
  2. Step 2: Convert to fraction form
    357,295.10/493,068.06 = 196,160.52/x
  3. Step 3: Cross multiply
    357,295.10x = 493,068.06 × 196,160.52
  4. Step 4: Simplify right side
    357,295.10x = 96,720,487,044.99
  5. Step 5: Solve for x
    x = 96,720,487,044.99/357,295.10
  6. Step 6: Final answer
    x = 270,701.97

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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.