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Finding the Fourth Proportional to 467,647.24, 645,200.94 and 286,169.80

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Solution

The fourth proportional to 467,647.24, 645,200.94 and 286,169.80 is: 394,821.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,647.24 : 645,200.94 = 286,169.80 : x
  2. Step 2: Convert to fraction form
    467,647.24/645,200.94 = 286,169.80/x
  3. Step 3: Cross multiply
    467,647.24x = 645,200.94 × 286,169.80
  4. Step 4: Simplify right side
    467,647.24x = 184,637,023,959.61
  5. Step 5: Solve for x
    x = 184,637,023,959.61/467,647.24
  6. Step 6: Final answer
    x = 394,821.16

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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.