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Finding the Fourth Proportional to 978,277.20, 1,467,415.80 and 347,254.80

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Solution

The fourth proportional to 978,277.20, 1,467,415.80 and 347,254.80 is: 520,882.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,277.20 : 1,467,415.80 = 347,254.80 : x
  2. Step 2: Convert to fraction form
    978,277.20/1,467,415.80 = 347,254.80/x
  3. Step 3: Cross multiply
    978,277.20x = 1,467,415.80 × 347,254.80
  4. Step 4: Simplify right side
    978,277.20x = 509,567,180,145.84
  5. Step 5: Solve for x
    x = 509,567,180,145.84/978,277.20
  6. Step 6: Final answer
    x = 520,882.20

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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.