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Finding the Fourth Proportional to 365,035.46, 546,789.43 and 293,571.81

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Solution

The fourth proportional to 365,035.46, 546,789.43 and 293,571.81 is: 439,743.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,035.46 : 546,789.43 = 293,571.81 : x
  2. Step 2: Convert to fraction form
    365,035.46/546,789.43 = 293,571.81/x
  3. Step 3: Cross multiply
    365,035.46x = 546,789.43 × 293,571.81
  4. Step 4: Simplify right side
    365,035.46x = 160,521,961,920.04
  5. Step 5: Solve for x
    x = 160,521,961,920.04/365,035.46
  6. Step 6: Final answer
    x = 439,743.47

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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.