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Finding the Fourth Proportional to 412,756.68, 619,135.14 and 272,482.50

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Solution

The fourth proportional to 412,756.68, 619,135.14 and 272,482.50 is: 408,723.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,756.68 : 619,135.14 = 272,482.50 : x
  2. Step 2: Convert to fraction form
    412,756.68/619,135.14 = 272,482.50/x
  3. Step 3: Cross multiply
    412,756.68x = 619,135.14 × 272,482.50
  4. Step 4: Simplify right side
    412,756.68x = 168,703,490,785.05
  5. Step 5: Solve for x
    x = 168,703,490,785.05/412,756.68
  6. Step 6: Final answer
    x = 408,723.83

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