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Finding the Fourth Proportional to 357,870.12, 493,871.82 and 196,737.48

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Solution

The fourth proportional to 357,870.12, 493,871.82 and 196,737.48 is: 271,503.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,870.12 : 493,871.82 = 196,737.48 : x
  2. Step 2: Convert to fraction form
    357,870.12/493,871.82 = 196,737.48/x
  3. Step 3: Cross multiply
    357,870.12x = 493,871.82 × 196,737.48
  4. Step 4: Simplify right side
    357,870.12x = 97,163,097,309.81
  5. Step 5: Solve for x
    x = 97,163,097,309.81/357,870.12
  6. Step 6: Final answer
    x = 271,503.80

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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.