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Finding the Fourth Proportional to 510,859.58, 705,041.62 and 281,440.38

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Solution

The fourth proportional to 510,859.58, 705,041.62 and 281,440.38 is: 388,418.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,859.58 : 705,041.62 = 281,440.38 : x
  2. Step 2: Convert to fraction form
    510,859.58/705,041.62 = 281,440.38/x
  3. Step 3: Cross multiply
    510,859.58x = 705,041.62 × 281,440.38
  4. Step 4: Simplify right side
    510,859.58x = 198,427,181,448.62
  5. Step 5: Solve for x
    x = 198,427,181,448.62/510,859.58
  6. Step 6: Final answer
    x = 388,418.24

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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.