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Finding the Fourth Proportional to 477,645.83, 659,151.21 and 262,781.28

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Solution

The fourth proportional to 477,645.83, 659,151.21 and 262,781.28 is: 362,638.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,645.83 : 659,151.21 = 262,781.28 : x
  2. Step 2: Convert to fraction form
    477,645.83/659,151.21 = 262,781.28/x
  3. Step 3: Cross multiply
    477,645.83x = 659,151.21 × 262,781.28
  4. Step 4: Simplify right side
    477,645.83x = 173,212,598,677.35
  5. Step 5: Solve for x
    x = 173,212,598,677.35/477,645.83
  6. Step 6: Final answer
    x = 362,638.15

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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.