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Finding the Fourth Proportional to 519,722.16, 779,611.19 and 164,763.86

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Solution

The fourth proportional to 519,722.16, 779,611.19 and 164,763.86 is: 247,154.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,722.16 : 779,611.19 = 164,763.86 : x
  2. Step 2: Convert to fraction form
    519,722.16/779,611.19 = 164,763.86/x
  3. Step 3: Cross multiply
    519,722.16x = 779,611.19 × 164,763.86
  4. Step 4: Simplify right side
    519,722.16x = 128,451,750,425.36
  5. Step 5: Solve for x
    x = 128,451,750,425.36/519,722.16
  6. Step 6: Final answer
    x = 247,154.65

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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.