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Finding the Fourth Proportional to 357,835.98, 493,807.01 and 196,687.59

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Solution

The fourth proportional to 357,835.98, 493,807.01 and 196,687.59 is: 271,425.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,835.98 : 493,807.01 = 196,687.59 : x
  2. Step 2: Convert to fraction form
    357,835.98/493,807.01 = 196,687.59/x
  3. Step 3: Cross multiply
    357,835.98x = 493,807.01 × 196,687.59
  4. Step 4: Simplify right side
    357,835.98x = 97,125,710,722.01
  5. Step 5: Solve for x
    x = 97,125,710,722.01/357,835.98
  6. Step 6: Final answer
    x = 271,425.22

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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.