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Finding the Fourth Proportional to 546,358.46, 817,992.25 and 289,606.01

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Solution

The fourth proportional to 546,358.46, 817,992.25 and 289,606.01 is: 433,589.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,358.46 : 817,992.25 = 289,606.01 : x
  2. Step 2: Convert to fraction form
    546,358.46/817,992.25 = 289,606.01/x
  3. Step 3: Cross multiply
    546,358.46x = 817,992.25 × 289,606.01
  4. Step 4: Simplify right side
    546,358.46x = 236,895,466,919.45
  5. Step 5: Solve for x
    x = 236,895,466,919.45/546,358.46
  6. Step 6: Final answer
    x = 433,589.83

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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.