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Finding the Fourth Proportional to 463,309.54, 640,587.15 and 405,783.92

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Solution

The fourth proportional to 463,309.54, 640,587.15 and 405,783.92 is: 561,050.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,309.54 : 640,587.15 = 405,783.92 : x
  2. Step 2: Convert to fraction form
    463,309.54/640,587.15 = 405,783.92/x
  3. Step 3: Cross multiply
    463,309.54x = 640,587.15 × 405,783.92
  4. Step 4: Simplify right side
    463,309.54x = 259,939,964,828.63
  5. Step 5: Solve for x
    x = 259,939,964,828.63/463,309.54
  6. Step 6: Final answer
    x = 561,050.32

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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.