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Finding the Fourth Proportional to 510,607.80, 704,657.88 and 281,175.03

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Solution

The fourth proportional to 510,607.80, 704,657.88 and 281,175.03 is: 388,032.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,607.80 : 704,657.88 = 281,175.03 : x
  2. Step 2: Convert to fraction form
    510,607.80/704,657.88 = 281,175.03/x
  3. Step 3: Cross multiply
    510,607.80x = 704,657.88 × 281,175.03
  4. Step 4: Simplify right side
    510,607.80x = 198,132,200,548.74
  5. Step 5: Solve for x
    x = 198,132,200,548.74/510,607.80
  6. Step 6: Final answer
    x = 388,032.07

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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.