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Finding the Fourth Proportional to 507,500.17, 700,317.39 and 278,057.14

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Solution

The fourth proportional to 507,500.17, 700,317.39 and 278,057.14 is: 383,700.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,500.17 : 700,317.39 = 278,057.14 : x
  2. Step 2: Convert to fraction form
    507,500.17/700,317.39 = 278,057.14/x
  3. Step 3: Cross multiply
    507,500.17x = 700,317.39 × 278,057.14
  4. Step 4: Simplify right side
    507,500.17x = 194,728,250,555.67
  5. Step 5: Solve for x
    x = 194,728,250,555.67/507,500.17
  6. Step 6: Final answer
    x = 383,700.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.