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Finding the Fourth Proportional to 468,504, 702,775.44 and 136,080

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Solution

The fourth proportional to 468,504, 702,775.44 and 136,080 is: 204,125.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,504 : 702,775.44 = 136,080 : x
  2. Step 2: Convert to fraction form
    468,504/702,775.44 = 136,080/x
  3. Step 3: Cross multiply
    468,504x = 702,775.44 × 136,080
  4. Step 4: Simplify right side
    468,504x = 95,633,681,875.20
  5. Step 5: Solve for x
    x = 95,633,681,875.20/468,504
  6. Step 6: Final answer
    x = 204,125.65

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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.