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Finding the Fourth Proportional to 315,426.17, 470,725.39 and 281,768.24

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Solution

The fourth proportional to 315,426.17, 470,725.39 and 281,768.24 is: 420,496.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,426.17 : 470,725.39 = 281,768.24 : x
  2. Step 2: Convert to fraction form
    315,426.17/470,725.39 = 281,768.24/x
  3. Step 3: Cross multiply
    315,426.17x = 470,725.39 × 281,768.24
  4. Step 4: Simplify right side
    315,426.17x = 132,635,464,663.61
  5. Step 5: Solve for x
    x = 132,635,464,663.61/315,426.17
  6. Step 6: Final answer
    x = 420,496.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.