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Finding the Fourth Proportional to 299,401.04, 413,242.83 and 197,444.93

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Solution

The fourth proportional to 299,401.04, 413,242.83 and 197,444.93 is: 272,519.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,401.04 : 413,242.83 = 197,444.93 : x
  2. Step 2: Convert to fraction form
    299,401.04/413,242.83 = 197,444.93/x
  3. Step 3: Cross multiply
    299,401.04x = 413,242.83 × 197,444.93
  4. Step 4: Simplify right side
    299,401.04x = 81,592,699,576.14
  5. Step 5: Solve for x
    x = 81,592,699,576.14/299,401.04
  6. Step 6: Final answer
    x = 272,519.76

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1.5x scale

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.