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Finding the Fourth Proportional to 520,021, 778,777.62 and 253,119.52

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Solution

The fourth proportional to 520,021, 778,777.62 and 253,119.52 is: 379,068.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,021 : 778,777.62 = 253,119.52 : x
  2. Step 2: Convert to fraction form
    520,021/778,777.62 = 253,119.52/x
  3. Step 3: Cross multiply
    520,021x = 778,777.62 × 253,119.52
  4. Step 4: Simplify right side
    520,021x = 197,123,817,361.14
  5. Step 5: Solve for x
    x = 197,123,817,361.14/520,021
  6. Step 6: Final answer
    x = 379,068.96

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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.