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Finding the Fourth Proportional to 562,152.60, 842,937.30 and 206,983.80

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Solution

The fourth proportional to 562,152.60, 842,937.30 and 206,983.80 is: 310,368.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,152.60 : 842,937.30 = 206,983.80 : x
  2. Step 2: Convert to fraction form
    562,152.60/842,937.30 = 206,983.80/x
  3. Step 3: Cross multiply
    562,152.60x = 842,937.30 × 206,983.80
  4. Step 4: Simplify right side
    562,152.60x = 174,474,365,515.74
  5. Step 5: Solve for x
    x = 174,474,365,515.74/562,152.60
  6. Step 6: Final answer
    x = 310,368.33

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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.