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Finding the Fourth Proportional to 412,320.56, 569,349.06 and 310,168.96

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Solution

The fourth proportional to 412,320.56, 569,349.06 and 310,168.96 is: 428,293.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,320.56 : 569,349.06 = 310,168.96 : x
  2. Step 2: Convert to fraction form
    412,320.56/569,349.06 = 310,168.96/x
  3. Step 3: Cross multiply
    412,320.56x = 569,349.06 × 310,168.96
  4. Step 4: Simplify right side
    412,320.56x = 176,594,405,817.18
  5. Step 5: Solve for x
    x = 176,594,405,817.18/412,320.56
  6. Step 6: Final answer
    x = 428,293.96

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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.