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Finding the Fourth Proportional to 540,057.68, 745,277.20 and 298,340.36

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Solution

The fourth proportional to 540,057.68, 745,277.20 and 298,340.36 is: 411,708.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,057.68 : 745,277.20 = 298,340.36 : x
  2. Step 2: Convert to fraction form
    540,057.68/745,277.20 = 298,340.36/x
  3. Step 3: Cross multiply
    540,057.68x = 745,277.20 × 298,340.36
  4. Step 4: Simplify right side
    540,057.68x = 222,346,272,340.69
  5. Step 5: Solve for x
    x = 222,346,272,340.69/540,057.68
  6. Step 6: Final answer
    x = 411,708.38

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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.