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Finding the Fourth Proportional to 477,825.60, 716,738.40 and 145,496.64

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Solution

The fourth proportional to 477,825.60, 716,738.40 and 145,496.64 is: 218,244.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,825.60 : 716,738.40 = 145,496.64 : x
  2. Step 2: Convert to fraction form
    477,825.60/716,738.40 = 145,496.64/x
  3. Step 3: Cross multiply
    477,825.60x = 716,738.40 × 145,496.64
  4. Step 4: Simplify right side
    477,825.60x = 104,283,028,958.98
  5. Step 5: Solve for x
    x = 104,283,028,958.98/477,825.60
  6. Step 6: Final answer
    x = 218,244.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.