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Finding the Fourth Proportional to 471,403.51, 650,423.06 and 277,819.18

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Solution

The fourth proportional to 471,403.51, 650,423.06 and 277,819.18 is: 383,323.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,403.51 : 650,423.06 = 277,819.18 : x
  2. Step 2: Convert to fraction form
    471,403.51/650,423.06 = 277,819.18/x
  3. Step 3: Cross multiply
    471,403.51x = 650,423.06 × 277,819.18
  4. Step 4: Simplify right side
    471,403.51x = 180,699,999,793.20
  5. Step 5: Solve for x
    x = 180,699,999,793.20/471,403.51
  6. Step 6: Final answer
    x = 383,323.41

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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.