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Finding the Fourth Proportional to 552,048.48, 828,160.20 and 177,984

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Solution

The fourth proportional to 552,048.48, 828,160.20 and 177,984 is: 267,004.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,048.48 : 828,160.20 = 177,984 : x
  2. Step 2: Convert to fraction form
    552,048.48/828,160.20 = 177,984/x
  3. Step 3: Cross multiply
    552,048.48x = 828,160.20 × 177,984
  4. Step 4: Simplify right side
    552,048.48x = 147,399,265,036.80
  5. Step 5: Solve for x
    x = 147,399,265,036.80/552,048.48
  6. Step 6: Final answer
    x = 267,004.20

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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.