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Finding the Fourth Proportional to 402,883.91, 604,394.72 and 166,097.15

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Solution

The fourth proportional to 402,883.91, 604,394.72 and 166,097.15 is: 249,174.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,883.91 : 604,394.72 = 166,097.15 : x
  2. Step 2: Convert to fraction form
    402,883.91/604,394.72 = 166,097.15/x
  3. Step 3: Cross multiply
    402,883.91x = 604,394.72 × 166,097.15
  4. Step 4: Simplify right side
    402,883.91x = 100,388,239,636.56
  5. Step 5: Solve for x
    x = 100,388,239,636.56/402,883.91
  6. Step 6: Final answer
    x = 249,174.11

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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.