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Finding the Fourth Proportional to 507,505.68, 700,357.47 and 278,077.83

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Solution

The fourth proportional to 507,505.68, 700,357.47 and 278,077.83 is: 383,747.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,505.68 : 700,357.47 = 278,077.83 : x
  2. Step 2: Convert to fraction form
    507,505.68/700,357.47 = 278,077.83/x
  3. Step 3: Cross multiply
    507,505.68x = 700,357.47 × 278,077.83
  4. Step 4: Simplify right side
    507,505.68x = 194,753,885,481.89
  5. Step 5: Solve for x
    x = 194,753,885,481.89/507,505.68
  6. Step 6: Final answer
    x = 383,747.20

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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.