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Finding the Fourth Proportional to 310,586.20, 465,889.70 and 85,927.84

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Solution

The fourth proportional to 310,586.20, 465,889.70 and 85,927.84 is: 128,894.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,586.20 : 465,889.70 = 85,927.84 : x
  2. Step 2: Convert to fraction form
    310,586.20/465,889.70 = 85,927.84/x
  3. Step 3: Cross multiply
    310,586.20x = 465,889.70 × 85,927.84
  4. Step 4: Simplify right side
    310,586.20x = 40,032,894,407.67
  5. Step 5: Solve for x
    x = 40,032,894,407.67/310,586.20
  6. Step 6: Final answer
    x = 128,894.63

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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.