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Finding the Fourth Proportional to 477,781.72, 659,322.24 and 262,901.68

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Solution

The fourth proportional to 477,781.72, 659,322.24 and 262,901.68 is: 362,795.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,781.72 : 659,322.24 = 262,901.68 : x
  2. Step 2: Convert to fraction form
    477,781.72/659,322.24 = 262,901.68/x
  3. Step 3: Cross multiply
    477,781.72x = 659,322.24 × 262,901.68
  4. Step 4: Simplify right side
    477,781.72x = 173,336,924,557.36
  5. Step 5: Solve for x
    x = 173,336,924,557.36/477,781.72
  6. Step 6: Final answer
    x = 362,795.22

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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.