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Finding the Fourth Proportional to 540,563.83, 745,920.90 and 298,807.38

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Solution

The fourth proportional to 540,563.83, 745,920.90 and 298,807.38 is: 412,322.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,563.83 : 745,920.90 = 298,807.38 : x
  2. Step 2: Convert to fraction form
    540,563.83/745,920.90 = 298,807.38/x
  3. Step 3: Cross multiply
    540,563.83x = 745,920.90 × 298,807.38
  4. Step 4: Simplify right side
    540,563.83x = 222,886,669,816.24
  5. Step 5: Solve for x
    x = 222,886,669,816.24/540,563.83
  6. Step 6: Final answer
    x = 412,322.58

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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.