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Finding the Fourth Proportional to 409,128.04, 564,750.66 and 239,416.84

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Solution

The fourth proportional to 409,128.04, 564,750.66 and 239,416.84 is: 330,485.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,128.04 : 564,750.66 = 239,416.84 : x
  2. Step 2: Convert to fraction form
    409,128.04/564,750.66 = 239,416.84/x
  3. Step 3: Cross multiply
    409,128.04x = 564,750.66 × 239,416.84
  4. Step 4: Simplify right side
    409,128.04x = 135,210,818,405.11
  5. Step 5: Solve for x
    x = 135,210,818,405.11/409,128.04
  6. Step 6: Final answer
    x = 330,485.34

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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.