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Finding the Fourth Proportional to 409,988.32, 565,782.96 and 231,139.04

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Solution

The fourth proportional to 409,988.32, 565,782.96 and 231,139.04 is: 318,971.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,988.32 : 565,782.96 = 231,139.04 : x
  2. Step 2: Convert to fraction form
    409,988.32/565,782.96 = 231,139.04/x
  3. Step 3: Cross multiply
    409,988.32x = 565,782.96 × 231,139.04
  4. Step 4: Simplify right side
    409,988.32x = 130,774,530,222.76
  5. Step 5: Solve for x
    x = 130,774,530,222.76/409,988.32
  6. Step 6: Final answer
    x = 318,971.36

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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.