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Finding the Fourth Proportional to 515,204.64, 772,797.74 and 211,532.86

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Solution

The fourth proportional to 515,204.64, 772,797.74 and 211,532.86 is: 317,295.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,204.64 : 772,797.74 = 211,532.86 : x
  2. Step 2: Convert to fraction form
    515,204.64/772,797.74 = 211,532.86/x
  3. Step 3: Cross multiply
    515,204.64x = 772,797.74 × 211,532.86
  4. Step 4: Simplify right side
    515,204.64x = 163,472,116,143.74
  5. Step 5: Solve for x
    x = 163,472,116,143.74/515,204.64
  6. Step 6: Final answer
    x = 317,295.50

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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.