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Finding the Fourth Proportional to 492,057.90, 738,259.65 and 211,661.10

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Solution

The fourth proportional to 492,057.90, 738,259.65 and 211,661.10 is: 317,565.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,057.90 : 738,259.65 = 211,661.10 : x
  2. Step 2: Convert to fraction form
    492,057.90/738,259.65 = 211,661.10/x
  3. Step 3: Cross multiply
    492,057.90x = 738,259.65 × 211,661.10
  4. Step 4: Simplify right side
    492,057.90x = 156,260,849,604.62
  5. Step 5: Solve for x
    x = 156,260,849,604.62/492,057.90
  6. Step 6: Final answer
    x = 317,565.98

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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.