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Finding the Fourth Proportional to 299,421.78, 413,271.52 and 197,465.64

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Solution

The fourth proportional to 299,421.78, 413,271.52 and 197,465.64 is: 272,548.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,421.78 : 413,271.52 = 197,465.64 : x
  2. Step 2: Convert to fraction form
    299,421.78/413,271.52 = 197,465.64/x
  3. Step 3: Cross multiply
    299,421.78x = 413,271.52 × 197,465.64
  4. Step 4: Simplify right side
    299,421.78x = 81,606,925,190.57
  5. Step 5: Solve for x
    x = 81,606,925,190.57/299,421.78
  6. Step 6: Final answer
    x = 272,548.39

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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.