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Finding the Fourth Proportional to 507,666.80, 760,699.08 and 187,377.82

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Solution

The fourth proportional to 507,666.80, 760,699.08 and 187,377.82 is: 280,771.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,666.80 : 760,699.08 = 187,377.82 : x
  2. Step 2: Convert to fraction form
    507,666.80/760,699.08 = 187,377.82/x
  3. Step 3: Cross multiply
    507,666.80x = 760,699.08 × 187,377.82
  4. Step 4: Simplify right side
    507,666.80x = 142,538,135,286.41
  5. Step 5: Solve for x
    x = 142,538,135,286.41/507,666.80
  6. Step 6: Final answer
    x = 280,771.04

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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.