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Finding the Fourth Proportional to 402,860.84, 604,313.34 and 132,977.96

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Solution

The fourth proportional to 402,860.84, 604,313.34 and 132,977.96 is: 199,474.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,860.84 : 604,313.34 = 132,977.96 : x
  2. Step 2: Convert to fraction form
    402,860.84/604,313.34 = 132,977.96/x
  3. Step 3: Cross multiply
    402,860.84x = 604,313.34 × 132,977.96
  4. Step 4: Simplify right side
    402,860.84x = 80,360,355,153.99
  5. Step 5: Solve for x
    x = 80,360,355,153.99/402,860.84
  6. Step 6: Final answer
    x = 199,474.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.