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Finding the Fourth Proportional to 471,348.53, 650,347.54 and 277,764.15

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Solution

The fourth proportional to 471,348.53, 650,347.54 and 277,764.15 is: 383,247.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,348.53 : 650,347.54 = 277,764.15 : x
  2. Step 2: Convert to fraction form
    471,348.53/650,347.54 = 277,764.15/x
  3. Step 3: Cross multiply
    471,348.53x = 650,347.54 × 277,764.15
  4. Step 4: Simplify right side
    471,348.53x = 180,643,231,652.69
  5. Step 5: Solve for x
    x = 180,643,231,652.69/471,348.53
  6. Step 6: Final answer
    x = 383,247.69

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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.