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Finding the Fourth Proportional to 504,259.10, 756,463.09 and 180,022.06

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Solution

The fourth proportional to 504,259.10, 756,463.09 and 180,022.06 is: 270,059.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,259.10 : 756,463.09 = 180,022.06 : x
  2. Step 2: Convert to fraction form
    504,259.10/756,463.09 = 180,022.06/x
  3. Step 3: Cross multiply
    504,259.10x = 756,463.09 × 180,022.06
  4. Step 4: Simplify right side
    504,259.10x = 136,180,041,164.35
  5. Step 5: Solve for x
    x = 136,180,041,164.35/504,259.10
  6. Step 6: Final answer
    x = 270,059.66

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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.