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Finding the Fourth Proportional to 552,006.40, 828,009.60 and 252,824.80

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Solution

The fourth proportional to 552,006.40, 828,009.60 and 252,824.80 is: 379,237.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,006.40 : 828,009.60 = 252,824.80 : x
  2. Step 2: Convert to fraction form
    552,006.40/828,009.60 = 252,824.80/x
  3. Step 3: Cross multiply
    552,006.40x = 828,009.60 × 252,824.80
  4. Step 4: Simplify right side
    552,006.40x = 209,341,361,518.08
  5. Step 5: Solve for x
    x = 209,341,361,518.08/552,006.40
  6. Step 6: Final answer
    x = 379,237.20

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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.