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Finding the Fourth Proportional to 507,294.14, 760,991.56 and 187,529.80

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Solution

The fourth proportional to 507,294.14, 760,991.56 and 187,529.80 is: 281,313.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,294.14 : 760,991.56 = 187,529.80 : x
  2. Step 2: Convert to fraction form
    507,294.14/760,991.56 = 187,529.80/x
  3. Step 3: Cross multiply
    507,294.14x = 760,991.56 × 187,529.80
  4. Step 4: Simplify right side
    507,294.14x = 142,708,595,048.49
  5. Step 5: Solve for x
    x = 142,708,595,048.49/507,294.14
  6. Step 6: Final answer
    x = 281,313.31

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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.