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Finding the Fourth Proportional to 496,968, 745,568.64 and 164,544

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Solution

The fourth proportional to 496,968, 745,568.64 and 164,544 is: 246,854.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,968 : 745,568.64 = 164,544 : x
  2. Step 2: Convert to fraction form
    496,968/745,568.64 = 164,544/x
  3. Step 3: Cross multiply
    496,968x = 745,568.64 × 164,544
  4. Step 4: Simplify right side
    496,968x = 122,678,846,300.16
  5. Step 5: Solve for x
    x = 122,678,846,300.16/496,968
  6. Step 6: Final answer
    x = 246,854.62

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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.