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Finding the Fourth Proportional to 580,206.48, 869,711 and 243,442.68

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Solution

The fourth proportional to 580,206.48, 869,711 and 243,442.68 is: 364,912.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,206.48 : 869,711 = 243,442.68 : x
  2. Step 2: Convert to fraction form
    580,206.48/869,711 = 243,442.68/x
  3. Step 3: Cross multiply
    580,206.48x = 869,711 × 243,442.68
  4. Step 4: Simplify right side
    580,206.48x = 211,724,776,665.48
  5. Step 5: Solve for x
    x = 211,724,776,665.48/580,206.48
  6. Step 6: Final answer
    x = 364,912.81

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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.