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Finding the Fourth Proportional to 299,417.27, 413,265.30 and 197,461.13

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Solution

The fourth proportional to 299,417.27, 413,265.30 and 197,461.13 is: 272,542.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,417.27 : 413,265.30 = 197,461.13 : x
  2. Step 2: Convert to fraction form
    299,417.27/413,265.30 = 197,461.13/x
  3. Step 3: Cross multiply
    299,417.27x = 413,265.30 × 197,461.13
  4. Step 4: Simplify right side
    299,417.27x = 81,603,833,127.79
  5. Step 5: Solve for x
    x = 81,603,833,127.79/299,417.27
  6. Step 6: Final answer
    x = 272,542.17

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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.