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Finding the Fourth Proportional to 507,755.64, 761,684.03 and 187,993.00

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Solution

The fourth proportional to 507,755.64, 761,684.03 and 187,993.00 is: 282,008.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,755.64 : 761,684.03 = 187,993.00 : x
  2. Step 2: Convert to fraction form
    507,755.64/761,684.03 = 187,993.00/x
  3. Step 3: Cross multiply
    507,755.64x = 761,684.03 × 187,993.00
  4. Step 4: Simplify right side
    507,755.64x = 143,191,267,097.63
  5. Step 5: Solve for x
    x = 143,191,267,097.63/507,755.64
  6. Step 6: Final answer
    x = 282,008.23

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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.