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Finding the Fourth Proportional to 562,844.16, 844,352.64 and 225,884.16

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Solution

The fourth proportional to 562,844.16, 844,352.64 and 225,884.16 is: 338,860.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,844.16 : 844,352.64 = 225,884.16 : x
  2. Step 2: Convert to fraction form
    562,844.16/844,352.64 = 225,884.16/x
  3. Step 3: Cross multiply
    562,844.16x = 844,352.64 × 225,884.16
  4. Step 4: Simplify right side
    562,844.16x = 190,725,886,830.18
  5. Step 5: Solve for x
    x = 190,725,886,830.18/562,844.16
  6. Step 6: Final answer
    x = 338,860.91

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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.