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Finding the Fourth Proportional to 409,833, 565,586.82 and 230,985

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Solution

The fourth proportional to 409,833, 565,586.82 and 230,985 is: 318,769.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,833 : 565,586.82 = 230,985 : x
  2. Step 2: Convert to fraction form
    409,833/565,586.82 = 230,985/x
  3. Step 3: Cross multiply
    409,833x = 565,586.82 × 230,985
  4. Step 4: Simplify right side
    409,833x = 130,642,071,617.70
  5. Step 5: Solve for x
    x = 130,642,071,617.70/409,833
  6. Step 6: Final answer
    x = 318,769.04

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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.