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Finding the Fourth Proportional to 409,055.04, 564,500.16 and 239,256

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Solution

The fourth proportional to 409,055.04, 564,500.16 and 239,256 is: 330,175.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,055.04 : 564,500.16 = 239,256 : x
  2. Step 2: Convert to fraction form
    409,055.04/564,500.16 = 239,256/x
  3. Step 3: Cross multiply
    409,055.04x = 564,500.16 × 239,256
  4. Step 4: Simplify right side
    409,055.04x = 135,060,050,280.96
  5. Step 5: Solve for x
    x = 135,060,050,280.96/409,055.04
  6. Step 6: Final answer
    x = 330,175.74

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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.