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Finding the Fourth Proportional to 978,471.20, 1,467,706.80 and 347,448.80

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Solution

The fourth proportional to 978,471.20, 1,467,706.80 and 347,448.80 is: 521,173.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,471.20 : 1,467,706.80 = 347,448.80 : x
  2. Step 2: Convert to fraction form
    978,471.20/1,467,706.80 = 347,448.80/x
  3. Step 3: Cross multiply
    978,471.20x = 1,467,706.80 × 347,448.80
  4. Step 4: Simplify right side
    978,471.20x = 509,952,966,411.84
  5. Step 5: Solve for x
    x = 509,952,966,411.84/978,471.20
  6. Step 6: Final answer
    x = 521,173.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.