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Finding the Fourth Proportional to 540,057.76, 745,285.94 and 298,335.27

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Solution

The fourth proportional to 540,057.76, 745,285.94 and 298,335.27 is: 411,706.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,057.76 : 745,285.94 = 298,335.27 : x
  2. Step 2: Convert to fraction form
    540,057.76/745,285.94 = 298,335.27/x
  3. Step 3: Cross multiply
    540,057.76x = 745,285.94 × 298,335.27
  4. Step 4: Simplify right side
    540,057.76x = 222,345,082,137.10
  5. Step 5: Solve for x
    x = 222,345,082,137.10/540,057.76
  6. Step 6: Final answer
    x = 411,706.11

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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.