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Finding the Fourth Proportional to 520,056.70, 778,529.85 and 309,586.30

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Solution

The fourth proportional to 520,056.70, 778,529.85 and 309,586.30 is: 463,453.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,056.70 : 778,529.85 = 309,586.30 : x
  2. Step 2: Convert to fraction form
    520,056.70/778,529.85 = 309,586.30/x
  3. Step 3: Cross multiply
    520,056.70x = 778,529.85 × 309,586.30
  4. Step 4: Simplify right side
    520,056.70x = 241,022,175,701.06
  5. Step 5: Solve for x
    x = 241,022,175,701.06/520,056.70
  6. Step 6: Final answer
    x = 463,453.65

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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.