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Finding the Fourth Proportional to 524,120.67, 786,158.14 and 164,283.32

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Solution

The fourth proportional to 524,120.67, 786,158.14 and 164,283.32 is: 246,417.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,120.67 : 786,158.14 = 164,283.32 : x
  2. Step 2: Convert to fraction form
    524,120.67/786,158.14 = 164,283.32/x
  3. Step 3: Cross multiply
    524,120.67x = 786,158.14 × 164,283.32
  4. Step 4: Simplify right side
    524,120.67x = 129,152,664,942.73
  5. Step 5: Solve for x
    x = 129,152,664,942.73/524,120.67
  6. Step 6: Final answer
    x = 246,417.80

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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.