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Finding the Fourth Proportional to 570,889.76, 856,433.12 and 191,846.88

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Solution

The fourth proportional to 570,889.76, 856,433.12 and 191,846.88 is: 287,803.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,889.76 : 856,433.12 = 191,846.88 : x
  2. Step 2: Convert to fraction form
    570,889.76/856,433.12 = 191,846.88/x
  3. Step 3: Cross multiply
    570,889.76x = 856,433.12 × 191,846.88
  4. Step 4: Simplify right side
    570,889.76x = 164,304,021,041.43
  5. Step 5: Solve for x
    x = 164,304,021,041.43/570,889.76
  6. Step 6: Final answer
    x = 287,803.41

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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.