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Finding the Fourth Proportional to 477,710.83, 716,690.19 and 140,763.40

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Solution

The fourth proportional to 477,710.83, 716,690.19 and 140,763.40 is: 211,181.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,710.83 : 716,690.19 = 140,763.40 : x
  2. Step 2: Convert to fraction form
    477,710.83/716,690.19 = 140,763.40/x
  3. Step 3: Cross multiply
    477,710.83x = 716,690.19 × 140,763.40
  4. Step 4: Simplify right side
    477,710.83x = 100,883,747,891.05
  5. Step 5: Solve for x
    x = 100,883,747,891.05/477,710.83
  6. Step 6: Final answer
    x = 211,181.62

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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.