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Finding the Fourth Proportional to 457,967.69, 632,071.10 and 254,084.27

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Solution

The fourth proportional to 457,967.69, 632,071.10 and 254,084.27 is: 350,678.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,967.69 : 632,071.10 = 254,084.27 : x
  2. Step 2: Convert to fraction form
    457,967.69/632,071.10 = 254,084.27/x
  3. Step 3: Cross multiply
    457,967.69x = 632,071.10 × 254,084.27
  4. Step 4: Simplify right side
    457,967.69x = 160,599,324,341.35
  5. Step 5: Solve for x
    x = 160,599,324,341.35/457,967.69
  6. Step 6: Final answer
    x = 350,678.29

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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.