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Finding the Fourth Proportional to 562,908.80, 844,977.60 and 314,076.80

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Solution

The fourth proportional to 562,908.80, 844,977.60 and 314,076.80 is: 471,458.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,908.80 : 844,977.60 = 314,076.80 : x
  2. Step 2: Convert to fraction form
    562,908.80/844,977.60 = 314,076.80/x
  3. Step 3: Cross multiply
    562,908.80x = 844,977.60 × 314,076.80
  4. Step 4: Simplify right side
    562,908.80x = 265,387,860,679.68
  5. Step 5: Solve for x
    x = 265,387,860,679.68/562,908.80
  6. Step 6: Final answer
    x = 471,458.01

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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.