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Finding the Fourth Proportional to 357,390.99, 493,201.04 and 194,048.01

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Solution

The fourth proportional to 357,390.99, 493,201.04 and 194,048.01 is: 267,787.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,390.99 : 493,201.04 = 194,048.01 : x
  2. Step 2: Convert to fraction form
    357,390.99/493,201.04 = 194,048.01/x
  3. Step 3: Cross multiply
    357,390.99x = 493,201.04 × 194,048.01
  4. Step 4: Simplify right side
    357,390.99x = 95,704,679,371.69
  5. Step 5: Solve for x
    x = 95,704,679,371.69/357,390.99
  6. Step 6: Final answer
    x = 267,787.05

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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.