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Finding the Fourth Proportional to 468,959.98, 647,162.58 and 254,100.06

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Solution

The fourth proportional to 468,959.98, 647,162.58 and 254,100.06 is: 350,656.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,959.98 : 647,162.58 = 254,100.06 : x
  2. Step 2: Convert to fraction form
    468,959.98/647,162.58 = 254,100.06/x
  3. Step 3: Cross multiply
    468,959.98x = 647,162.58 × 254,100.06
  4. Step 4: Simplify right side
    468,959.98x = 164,444,050,407.76
  5. Step 5: Solve for x
    x = 164,444,050,407.76/468,959.98
  6. Step 6: Final answer
    x = 350,656.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.