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Finding the Fourth Proportional to 478,050.42, 659,696.82 and 263,192.10

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Solution

The fourth proportional to 478,050.42, 659,696.82 and 263,192.10 is: 363,198.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,050.42 : 659,696.82 = 263,192.10 : x
  2. Step 2: Convert to fraction form
    478,050.42/659,696.82 = 263,192.10/x
  3. Step 3: Cross multiply
    478,050.42x = 659,696.82 × 263,192.10
  4. Step 4: Simplify right side
    478,050.42x = 173,626,991,419.12
  5. Step 5: Solve for x
    x = 173,626,991,419.12/478,050.42
  6. Step 6: Final answer
    x = 363,198.07

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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.