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Finding the Fourth Proportional to 357,555.98, 493,402.92 and 196,417.82

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Solution

The fourth proportional to 357,555.98, 493,402.92 and 196,417.82 is: 271,043.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,555.98 : 493,402.92 = 196,417.82 : x
  2. Step 2: Convert to fraction form
    357,555.98/493,402.92 = 196,417.82/x
  3. Step 3: Cross multiply
    357,555.98x = 493,402.92 × 196,417.82
  4. Step 4: Simplify right side
    357,555.98x = 96,913,125,928.03
  5. Step 5: Solve for x
    x = 96,913,125,928.03/357,555.98
  6. Step 6: Final answer
    x = 271,043.22

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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.