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Finding the Fourth Proportional to 552,058.24, 828,262.40 and 197,064.64

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Solution

The fourth proportional to 552,058.24, 828,262.40 and 197,064.64 is: 295,659.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,058.24 : 828,262.40 = 197,064.64 : x
  2. Step 2: Convert to fraction form
    552,058.24/828,262.40 = 197,064.64/x
  3. Step 3: Cross multiply
    552,058.24x = 828,262.40 × 197,064.64
  4. Step 4: Simplify right side
    552,058.24x = 163,221,231,681.54
  5. Step 5: Solve for x
    x = 163,221,231,681.54/552,058.24
  6. Step 6: Final answer
    x = 295,659.44

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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.