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Finding the Fourth Proportional to 540,047.80, 809,916.90 and 160,952.68

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Solution

The fourth proportional to 540,047.80, 809,916.90 and 160,952.68 is: 241,382.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,047.80 : 809,916.90 = 160,952.68 : x
  2. Step 2: Convert to fraction form
    540,047.80/809,916.90 = 160,952.68/x
  3. Step 3: Cross multiply
    540,047.80x = 809,916.90 × 160,952.68
  4. Step 4: Simplify right side
    540,047.80x = 130,358,295,632.29
  5. Step 5: Solve for x
    x = 130,358,295,632.29/540,047.80
  6. Step 6: Final answer
    x = 241,382.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.