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Finding the Fourth Proportional to 562,563.20, 776,335.92 and 307,912.16

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Solution

The fourth proportional to 562,563.20, 776,335.92 and 307,912.16 is: 424,918.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,563.20 : 776,335.92 = 307,912.16 : x
  2. Step 2: Convert to fraction form
    562,563.20/776,335.92 = 307,912.16/x
  3. Step 3: Cross multiply
    562,563.20x = 776,335.92 × 307,912.16
  4. Step 4: Simplify right side
    562,563.20x = 239,043,270,012.79
  5. Step 5: Solve for x
    x = 239,043,270,012.79/562,563.20
  6. Step 6: Final answer
    x = 424,918.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.