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Finding the Fourth Proportional to 475,917.81, 656,764.80 and 294,593.64

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Solution

The fourth proportional to 475,917.81, 656,764.80 and 294,593.64 is: 406,538.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,917.81 : 656,764.80 = 294,593.64 : x
  2. Step 2: Convert to fraction form
    475,917.81/656,764.80 = 294,593.64/x
  3. Step 3: Cross multiply
    475,917.81x = 656,764.80 × 294,593.64
  4. Step 4: Simplify right side
    475,917.81x = 193,478,733,055.87
  5. Step 5: Solve for x
    x = 193,478,733,055.87/475,917.81
  6. Step 6: Final answer
    x = 406,538.12

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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.