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Finding the Fourth Proportional to 398,174.49, 596,900.70 and 198,556.11

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Solution

The fourth proportional to 398,174.49, 596,900.70 and 198,556.11 is: 297,654.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,174.49 : 596,900.70 = 198,556.11 : x
  2. Step 2: Convert to fraction form
    398,174.49/596,900.70 = 198,556.11/x
  3. Step 3: Cross multiply
    398,174.49x = 596,900.70 × 198,556.11
  4. Step 4: Simplify right side
    398,174.49x = 118,518,281,048.28
  5. Step 5: Solve for x
    x = 118,518,281,048.28/398,174.49
  6. Step 6: Final answer
    x = 297,654.13

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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.