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Finding the Fourth Proportional to 507,035.95, 699,709.71 and 277,607.80

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Solution

The fourth proportional to 507,035.95, 699,709.71 and 277,607.80 is: 383,098.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,035.95 : 699,709.71 = 277,607.80 : x
  2. Step 2: Convert to fraction form
    507,035.95/699,709.71 = 277,607.80/x
  3. Step 3: Cross multiply
    507,035.95x = 699,709.71 × 277,607.80
  4. Step 4: Simplify right side
    507,035.95x = 194,244,873,231.74
  5. Step 5: Solve for x
    x = 194,244,873,231.74/507,035.95
  6. Step 6: Final answer
    x = 383,098.82

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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.