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Finding the Fourth Proportional to 468,053.73, 645,917.31 and 286,766.01

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Solution

The fourth proportional to 468,053.73, 645,917.31 and 286,766.01 is: 395,739.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,053.73 : 645,917.31 = 286,766.01 : x
  2. Step 2: Convert to fraction form
    468,053.73/645,917.31 = 286,766.01/x
  3. Step 3: Cross multiply
    468,053.73x = 645,917.31 × 286,766.01
  4. Step 4: Simplify right side
    468,053.73x = 185,227,129,778.63
  5. Step 5: Solve for x
    x = 185,227,129,778.63/468,053.73
  6. Step 6: Final answer
    x = 395,739.03

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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.