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Finding the Fourth Proportional to 507,199.98, 760,850.76 and 187,435.80

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Solution

The fourth proportional to 507,199.98, 760,850.76 and 187,435.80 is: 281,172.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,199.98 : 760,850.76 = 187,435.80 : x
  2. Step 2: Convert to fraction form
    507,199.98/760,850.76 = 187,435.80/x
  3. Step 3: Cross multiply
    507,199.98x = 760,850.76 × 187,435.80
  4. Step 4: Simplify right side
    507,199.98x = 142,610,670,881.21
  5. Step 5: Solve for x
    x = 142,610,670,881.21/507,199.98
  6. Step 6: Final answer
    x = 281,172.47

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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.