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Finding the Fourth Proportional to 524,112.42, 786,168.15 and 164,285.86

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Solution

The fourth proportional to 524,112.42, 786,168.15 and 164,285.86 is: 246,428.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,112.42 : 786,168.15 = 164,285.86 : x
  2. Step 2: Convert to fraction form
    524,112.42/786,168.15 = 164,285.86/x
  3. Step 3: Cross multiply
    524,112.42x = 786,168.15 × 164,285.86
  4. Step 4: Simplify right side
    524,112.42x = 129,156,310,627.36
  5. Step 5: Solve for x
    x = 129,156,310,627.36/524,112.42
  6. Step 6: Final answer
    x = 246,428.64

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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.