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Finding the Fourth Proportional to 467,088.63, 644,629.92 and 285,920.28

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Solution

The fourth proportional to 467,088.63, 644,629.92 and 285,920.28 is: 394,599.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,088.63 : 644,629.92 = 285,920.28 : x
  2. Step 2: Convert to fraction form
    467,088.63/644,629.92 = 285,920.28/x
  3. Step 3: Cross multiply
    467,088.63x = 644,629.92 × 285,920.28
  4. Step 4: Simplify right side
    467,088.63x = 184,312,767,222.78
  5. Step 5: Solve for x
    x = 184,312,767,222.78/467,088.63
  6. Step 6: Final answer
    x = 394,599.13

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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.