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Finding the Fourth Proportional to 632,967.84, 949,614.93 and 228,143.97

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Solution

The fourth proportional to 632,967.84, 949,614.93 and 228,143.97 is: 342,274.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,967.84 : 949,614.93 = 228,143.97 : x
  2. Step 2: Convert to fraction form
    632,967.84/949,614.93 = 228,143.97/x
  3. Step 3: Cross multiply
    632,967.84x = 949,614.93 × 228,143.97
  4. Step 4: Simplify right side
    632,967.84x = 216,648,920,101.47
  5. Step 5: Solve for x
    x = 216,648,920,101.47/632,967.84
  6. Step 6: Final answer
    x = 342,274.77

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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.